ARTICLE

doi:10.20944/preprints202103.0399.v1
Subject:
Engineering,
Automotive Engineering
Keywords:
Fractional derivative; Derivative order; Hermitian system; Complex order; Liouville derivative
Online: 15 March 2021 (16:23:56 CET)
ARTICLE

doi:10.20944/preprints202104.0362.v1
Subject:
Mathematics & Computer Science,
General Mathematics
Keywords:
Tempered Fractional Derivative; Onesided Tempered Fractional Derivative; Bilateral Tempered Fractional Derivative; Tempered Riesz potential.
Online: 13 April 2021 (18:48:08 CEST)
ARTICLE

doi:10.20944/preprints202003.0030.v4
Subject:
Physical Sciences,
Fluids & Plasmas
Keywords:
material derivative; continuum physics; solution existence condition; the NavierStokes equation
Online: 15 June 2020 (09:55:06 CEST)
ARTICLE

doi:10.20944/preprints202111.0063.v1
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
Fractional derivatives; Caputo fractional derivative; the CaputoFabrizio fractional derivative; Laplace transform
Online: 3 November 2021 (08:29:12 CET)
ARTICLE

doi:10.20944/preprints202103.0789.v1
Subject:
Mathematics & Computer Science,
General Mathematics
Keywords:
Fractional Integral; GrünwaldLetnikov Fractional Derivative; Fractional Line Integral; Liouville Fractional Derivative
Online: 31 March 2021 (21:45:06 CEST)
ARTICLE

doi:10.20944/preprints201610.0131.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
joint probability density; tensor properties; probability on Riemannian manifold; covariant derivative; contravariant derivative
Online: 31 October 2016 (02:39:45 CET)
ARTICLE

doi:10.20944/preprints202010.0175.v1
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
Caputo derivative; Stability,; Hopf Bifurcation
Online: 8 October 2020 (13:00:38 CEST)
REVIEW

doi:10.20944/preprints201912.0034.v1
Subject:
Chemistry,
Analytical Chemistry
Keywords:
graphene; graphene derivative; biosensor; detection; biomarker
Online: 4 December 2019 (03:00:03 CET)
ARTICLE

doi:10.20944/preprints201611.0145.v1
Subject:
Mathematics & Computer Science,
Analysis
Keywords:
Hermite polynomial; square; generating function; higher order derivative; differential equation; derivative polynomial; explicit formula; recurrence relation
Online: 29 November 2016 (06:50:11 CET)
ARTICLE

doi:10.20944/preprints202205.0414.v1
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
holder classes; local fractional derivative; fractional velocity
Online: 31 May 2022 (08:15:13 CEST)
ARTICLE

doi:10.20944/preprints201712.0090.v1
Subject:
Mathematics & Computer Science,
Probability And Statistics
Keywords:
PFG anomalous diffusion; fractional derivative; NMR; MRI
Online: 14 December 2017 (11:27:15 CET)
ARTICLE

doi:10.20944/preprints201801.0089.v1
Subject:
Mathematics & Computer Science,
Analysis
Keywords:
hypergeometric function; beta function; extended hypergeometric function; mellin transform; fractional derivative; caputo fractional derivative; appell's function; generating relation
Online: 10 January 2018 (09:37:35 CET)
ARTICLE

doi:10.20944/preprints201712.0195.v1
Subject:
Mathematics & Computer Science,
Analysis
Keywords:
hypergeometric function; beta function; extended hypergeometric function; Mellin transform; fractional derivative; Caputo fractional derivative; Appell's function; generating relation
Online: 28 December 2017 (08:11:51 CET)
ARTICLE
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
SturmLiouville; conformable derivative; asymptotic formula; spectral data
Online: 25 December 2019 (03:13:13 CET)
ARTICLE

doi:10.20944/preprints201809.0476.v1
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
fractional power series; integrodifferential equations; conformable derivative
Online: 25 September 2018 (05:06:12 CEST)
ARTICLE

doi:10.20944/preprints201807.0584.v1
Subject:
Earth Sciences,
Geophysics
Keywords:
salt rock; creep; damage; fractional derivative; acoustic emission
Online: 30 July 2018 (11:15:31 CEST)
ARTICLE

doi:10.20944/preprints201803.0198.v1
Subject:
Chemistry,
Analytical Chemistry
Keywords:
copper detection; magnetic nanoparticle; rhodamine B derivative; removal
Online: 23 March 2018 (10:28:53 CET)
ARTICLE

doi:10.20944/preprints201901.0122.v1
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
conformable fractional derivative; conformable partial fractional derivative; conformable double Laplace decomposition method; conformable Laplace transform; Singular one dimensional coupled Burgers equations
Online: 14 January 2019 (07:04:49 CET)
ARTICLE

doi:10.20944/preprints202206.0387.v1
Subject:
Mathematics & Computer Science,
Computational Mathematics
Keywords:
Exponentially–fitted; Obrechkoff; Fourth–derivative; Oscillatory; Periodic; Single–step
Online: 28 June 2022 (12:50:23 CEST)
ARTICLE

doi:10.20944/preprints202010.0219.v1
Subject:
Engineering,
Automotive Engineering
Keywords:
manipulator; sliding mode controller; proportional integral derivative (PID) controller
Online: 12 October 2020 (10:04:18 CEST)
ARTICLE

doi:10.20944/preprints201807.0025.v1
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
fractional differential equations; conformable derivative; Bernoulli equation; exact solution
Online: 3 July 2018 (06:04:53 CEST)
ARTICLE

doi:10.20944/preprints202301.0290.v1
Subject:
Mathematics & Computer Science,
Analysis
Keywords:
generalized Sonin condition; general fractional integral; general fractional derivative of arbitrary order; regularized general fractional derivative of arbitrary order; 1st level general fractional derivative; 1st fundamental theorem of fractional calculus; 2nd fundamental theorem of fractional calculus
Online: 17 January 2023 (01:34:12 CET)
ARTICLE

doi:10.20944/preprints202204.0041.v1
Subject:
Materials Science,
Biomaterials
Keywords:
multicore magnetic nanoparticles; magnetoliposomes; magnetic hyperthermia; antitumor thienopyridine derivative; chemotherapy
Online: 6 April 2022 (10:27:22 CEST)
ARTICLE

doi:10.20944/preprints202103.0166.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
Csiszar's discrimination; Csiszar's distance; fractional calculus; psiHilfer fractional derivative
Online: 4 March 2021 (14:19:06 CET)
ARTICLE

doi:10.20944/preprints201911.0206.v1
Subject:
Medicine & Pharmacology,
Pharmacology & Toxicology
Keywords:
leukemia; relapse; quiescence; dormancy; curcumin derivative; Hsp90; apoptosis; protein aggregation
Online: 17 November 2019 (14:06:46 CET)
ARTICLE

doi:10.20944/preprints201810.0417.v1
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
oscillation; nonlinear differential system; delay differential system; αfractional derivative
Online: 18 October 2018 (11:14:42 CEST)
ARTICLE

doi:10.20944/preprints201808.0054.v1
Subject:
Materials Science,
Nanotechnology
Keywords:
few layer graphene production; aqueous suspension; pyrene derivative; molecular modelling
Online: 2 August 2018 (23:52:47 CEST)
ARTICLE

doi:10.20944/preprints201611.0051.v1
Subject:
Medicine & Pharmacology,
Oncology & Oncogenics
Keywords:
angiogenesis; cell invasion; cell migration; Flavone derivative (TTF1); hepatoma; STAT3
Online: 9 November 2016 (10:21:43 CET)
REVIEW

doi:10.20944/preprints202212.0164.v1
Subject:
Mathematics & Computer Science,
Artificial Intelligence & Robotics
Keywords:
Fractional Derivative; Fractional Calculus; Machine Learning; Artificial Intelligence; Complexity; Regression Analysis
Online: 8 December 2022 (14:45:05 CET)
ARTICLE

doi:10.20944/preprints201712.0013.v1
Subject:
Mathematics & Computer Science,
Analysis
Keywords:
hypergeometric function; extended hypergeometric function; mellin transform; fractional derivative; appell's function
Online: 4 December 2017 (04:21:01 CET)
ARTICLE

doi:10.20944/preprints202010.0626.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
function space; function space integral; partial derivative approach; change of scale formula
Online: 30 October 2020 (08:08:24 CET)
ARTICLE

doi:10.20944/preprints202008.0194.v1
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
objectivity of a mathematical description; elastic phenomena description; fractional order partial derivative
Online: 7 August 2020 (11:43:01 CEST)
ARTICLE

doi:10.20944/preprints202211.0132.v1
Subject:
Chemistry,
Medicinal Chemistry
Keywords:
Enterococcus faecalis; natural products; aminoglycosides; aminoglycosidemodifying enzymes; APH(3’)IIIa; flavone derivative
Online: 8 November 2022 (01:39:19 CET)
ARTICLE

doi:10.20944/preprints202112.0269.v1
Subject:
Mathematics & Computer Science,
Artificial Intelligence & Robotics
Keywords:
fractional derivative; Arnold Transform; XOR involving fractional order chaotic sequence; encryption and decryption
Online: 16 December 2021 (11:52:50 CET)
ARTICLE

doi:10.20944/preprints202008.0059.v1
Subject:
Engineering,
Control & Systems Engineering
Keywords:
Ventilator; COVID19; DC motor; Proportional Integral Derivative; Full State Feedback H2 controller
Online: 3 August 2020 (00:41:16 CEST)
ARTICLE

doi:10.20944/preprints201906.0232.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Hermitian manifold; locally conformal Kähler manifold; Lee form; diffeomorphism; conformal transformation; Lie derivative
Online: 24 June 2019 (08:45:40 CEST)
ARTICLE

doi:10.20944/preprints201610.0035.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
derangement number; closed form; Hessenberg determinant; tridiagonal determinant; generating function; recurrence relation; derivative
Online: 11 October 2016 (10:53:07 CEST)
ARTICLE

doi:10.20944/preprints202004.0140.v1
Subject:
Mathematics & Computer Science,
Analysis
Keywords:
mathematical models; coronavirus; caputofabrizio derivative; basic reproduction number; existence and stability; numerical simulations
Online: 9 April 2020 (08:12:53 CEST)
ARTICLE

doi:10.20944/preprints201812.0190.v1
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
Spacetime fractional EqualWidth equations; Conformable derivative; Hyperbolic function approach; Exact soliton solutions
Online: 17 December 2018 (10:47:03 CET)
ARTICLE

doi:10.20944/preprints202206.0041.v1
Subject:
Mathematics & Computer Science,
Computational Mathematics
Keywords:
Fractional calculus; Generalized OldroydB fluid; separation of variables method; Unidirectional flow; Caputo fractional derivative
Online: 3 June 2022 (09:58:29 CEST)
ARTICLE

doi:10.20944/preprints202204.0045.v1
Subject:
Mathematics & Computer Science,
Computational Mathematics
Keywords:
Fractional differential equation; singular generalized fractional derivative; MittagLeffler kernel; predictorcorrector algorithm; numerical solution
Online: 6 April 2022 (11:38:48 CEST)
ARTICLE

doi:10.20944/preprints202006.0298.v2
Subject:
Physical Sciences,
General & Theoretical Physics
Keywords:
time interval; equilibrium; graphs; derivative; metric; general relativity; starlight radiation; qm wave packet collapse; cosmology
Online: 10 August 2020 (15:15:45 CEST)
ARTICLE

doi:10.20944/preprints201810.0165.v1
Subject:
Mathematics & Computer Science,
Numerical Analysis & Optimization
Keywords:
nonlinear operator equations; Fréchet derivative; ωcontinuity condition; the Newton like method; Frédholm integral equation
Online: 9 October 2018 (03:43:45 CEST)
ARTICLE

doi:10.20944/preprints201706.0090.v1
Subject:
Mathematics & Computer Science,
Numerical Analysis & Optimization
Keywords:
fractional neutral integrodifferential equations; initial value problem; Caputo fractional derivative; Krasnoselskii's fixed point theorem
Online: 20 June 2017 (03:42:54 CEST)
ARTICLE

doi:10.20944/preprints202212.0492.v1
Subject:
Engineering,
Marine Engineering
Keywords:
Discretization; DC motors; deterministic artificial intelligence; adaptive control; learning control; proportional derivative; estimation; least squares; modeling
Online: 27 December 2022 (10:35:46 CET)
ARTICLE

doi:10.20944/preprints202009.0440.v1
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
Conformable fractional derivative; Conformable fractional integral; Conformable fractional differential equations; Sturm´s Theorems; Green´s Function
Online: 18 September 2020 (12:16:52 CEST)
ARTICLE

doi:10.20944/preprints201905.0262.v1
Subject:
Keywords:
fractional telegraph model with AtanganaBaleanu derivative; Laplace method; stability inequalites; difference schemes; implicit finite method
Online: 21 May 2019 (11:43:12 CEST)
ARTICLE

doi:10.20944/preprints201809.0595.v1
Subject:
Materials Science,
Nanotechnology
Keywords:
nanoemulsion; oral delivery; ω3 polyunsaturated fatty acid derivative; MDAMB231; triplenegative breast cancer
Online: 30 September 2018 (05:14:34 CEST)
ARTICLE

doi:10.20944/preprints202207.0117.v2
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
MittagLeffler stability; Caputo fractionalorder derivative; nonLipschitz continuity; hyperchaotic financial system; MittagLeffler function
Online: 8 July 2022 (10:31:03 CEST)
ARTICLE

doi:10.20944/preprints201610.0043.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
viewpoint; ordinary differential equation; solution; derivative polynomial; identity; Stirling numbers; Bernoulli number; Bernoulli polynomial; FrobeniusEuler polynomial
Online: 12 October 2016 (11:47:48 CEST)
ARTICLE

doi:10.20944/preprints202109.0399.v2
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
perturbed nonlinear schrodinger equation; conformal fractional derivative; prior estimate; bifurcation method; complete discrimination system for polynomial method
Online: 24 November 2021 (13:04:55 CET)
ARTICLE

doi:10.20944/preprints202301.0382.v1
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
fractional oscillator, Caputo derivative, nonlinear fractional oscillator, Duffing equatio, fractional pendulum, fractional Van der Pol equation, Duffing.Mathieu fractional oscillator.
Online: 23 January 2023 (01:31:54 CET)
ARTICLE

doi:10.20944/preprints201811.0151.v1
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
timedependent order of differentiation; fractional calculus; fractional derivative; differential equations; complex systems; Volterra integral equation; VODE; DODE; dynamical evolution
Online: 7 November 2018 (09:15:19 CET)
ARTICLE

doi:10.20944/preprints201802.0141.v1
Subject:
Mathematics & Computer Science,
Numerical Analysis & Optimization
Keywords:
Ansatz method; fractional modified Korteweg–de Vries Equation; fractional modified Equal Width Equation; fractional Benney–Luke Equation; Conformable fractional derivative
Online: 22 February 2018 (10:45:02 CET)
ARTICLE

doi:10.20944/preprints201712.0101.v1
Subject:
Mathematics & Computer Science,
Analysis
Keywords:
beta function; kbeta function; hypergeometric function; khypergeometric function; Mellin transform; fractional derivative; Appell's function; kMittagLeffler function
Online: 15 December 2017 (06:44:08 CET)
ARTICLE

doi:10.20944/preprints202011.0343.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
complete monotonicity; necessary and sufficient condition; difference; derivative; trigamma function; convolution theorem for the Laplace transforms; Bernstein's theorem for completely monotonic functions
Online: 12 November 2020 (11:58:39 CET)
ARTICLE

doi:10.20944/preprints201811.0345.v1
Subject:
Physical Sciences,
Fluids & Plasmas
Keywords:
Landau damping; resonant transfer; anharmonic lattice; nonlinear waves; collective modes; gravity waves; Stokes flow; Basset drag force; surfactant approximation; fractional derivative; anharmonic
Online: 15 November 2018 (05:43:52 CET)
ARTICLE

doi:10.20944/preprints201612.0084.v1
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
modified Kudryashov method; conformable time fractional RLWBurgers Equation; conformable time fractional potential KdV Equation; conformable time fractional CRWP equation; conformable derivative
Online: 16 December 2016 (08:01:56 CET)
ARTICLE
Subject:
Chemistry,
Analytical Chemistry
Keywords:
SecondOrder Derivative (SOD) method; Graphic method; Potential Energy Scan (PES); ChargeTransfer complex; Iron(III) bromide; Iron(V) complex; Transition metalhalogen tandem catalysis
Online: 21 June 2021 (14:08:50 CEST)
ARTICLE

doi:10.20944/preprints202108.0121.v1
Subject:
Keywords:
Variableorder fractionaldiscrete time systems; Synchronization and AntiSynchronization; LyapunovKrasovskii Stability; Fractional Order Caputo Derivative; TimeDelay FractionalDiscrete Systems; Fractional Order Discrete Time PID Control
Online: 4 August 2021 (20:16:06 CEST)
ARTICLE

doi:10.20944/preprints201611.0146.v1
Subject:
Mathematics & Computer Science,
Analysis
Keywords:
explicit form; inhomogeneous linear ordinary differential equation; derivative; Lerch transcendent; absolute monotonicity; complete monotonicity; Bernstein function; inequality; diagonal recurrence relation; Stirling numbers of the first kind; logarithmic function
Online: 29 November 2016 (08:00:53 CET)
ARTICLE

doi:10.20944/preprints202201.0467.v1
Subject:
Engineering,
Control & Systems Engineering
Keywords:
autonomy; optimal; spacecraft; navigation guidance; attitude control; inertial sensors; star trackers; linear quadratic regulator; timeoptimal control; optimal open loop; proportional plus derivative control; realtime optimal control; switched realtime optimal control
Online: 31 January 2022 (13:40:49 CET)
ARTICLE

doi:10.20944/preprints201708.0079.v2
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
Bell polynomial; Bell number; Bell polynomial of the second kind; higher order derivative; generating function; Faa di Bruno formula; inversion theorem; Stirling number of the first kind; Stirling number of the second kind; explicit formula; inversion formula; logarithmically absolute monotonicity; logarithmically complete monotonicity; determinantal inequality; product inequality
Online: 25 August 2017 (08:41:30 CEST)