Version 1
: Received: 13 February 2020 / Approved: 14 February 2020 / Online: 14 February 2020 (02:12:02 CET)
How to cite:
Damag, F. H.; Kılıçman, A.; Al-Arioi, A. T. On the Solutions of Nonlinear Hybrid Fractional Integrodifferential Equations. Preprints2020, 2020020176. https://doi.org/10.20944/preprints202002.0176.v1
Damag, F. H.; Kılıçman, A.; Al-Arioi, A. T. On the Solutions of Nonlinear Hybrid Fractional Integrodifferential Equations. Preprints 2020, 2020020176. https://doi.org/10.20944/preprints202002.0176.v1
Damag, F. H.; Kılıçman, A.; Al-Arioi, A. T. On the Solutions of Nonlinear Hybrid Fractional Integrodifferential Equations. Preprints2020, 2020020176. https://doi.org/10.20944/preprints202002.0176.v1
APA Style
Damag, F. H., Kılıçman, A., & Al-Arioi, A. T. (2020). On the Solutions of Nonlinear Hybrid Fractional Integrodifferential Equations. Preprints. https://doi.org/10.20944/preprints202002.0176.v1
Chicago/Turabian Style
Damag, F. H., Adem Kılıçman and Awsan T. Al-Arioi. 2020 "On the Solutions of Nonlinear Hybrid Fractional Integrodifferential Equations" Preprints. https://doi.org/10.20944/preprints202002.0176.v1
Abstract
In the present work we study the existence of solutions for hybrid nonlinear fractional integrodifferential equations. We developed an algorithm by using the operator theoretical techniques in order to obtain the approximate solutions. The main results depend on the Dhage iteration method that were incorporated with the modern hybrid fixed point theorems. The approximate solutions were obtained by using Lipschitz conditions and weaker form of mixed partial continuity. Further, we provide some examples to explain the hypotheses and the related results.
Keywords
hybrid fractional integrodifferential equation; hybrid fixed point theorems of Dhage; approximations solutions; Lipschitz conditions; weaker mixed partial continuity
Subject
Computer Science and Mathematics, Analysis
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
