Turmetov, B.K.; Usmanov, K.I.; Nazarova, K.Z. On the Operator Method for Solving Linear Integro-Differential Equations with Fractional Conformable Derivatives. Fractal Fract.2021, 5, 109.
Turmetov, B.K.; Usmanov, K.I.; Nazarova, K.Z. On the Operator Method for Solving Linear Integro-Differential Equations with Fractional Conformable Derivatives. Fractal Fract. 2021, 5, 109.
Turmetov, B.K.; Usmanov, K.I.; Nazarova, K.Z. On the Operator Method for Solving Linear Integro-Differential Equations with Fractional Conformable Derivatives. Fractal Fract.2021, 5, 109.
Turmetov, B.K.; Usmanov, K.I.; Nazarova, K.Z. On the Operator Method for Solving Linear Integro-Differential Equations with Fractional Conformable Derivatives. Fractal Fract. 2021, 5, 109.
Abstract
The methods for constructing solutions to integro-differential equations of the Volterra type are considered. The equations are related to fractional conformable derivatives. Explicit solutions of homogeneous and inhomogeneous equations are constructed and a Cauchy-type problem is studied. It should be noted that the considered method is based on the construction of normalized systems of functions with respect to a differential operator of fractional order.
Keywords
integro-differential equation; fractional derivatives; fractional conformable derivatives; normalized systems method.
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
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