Neutral functional sequential differential equations with Caputo fractional derivative on time scales

Neutral functional sequential differential equations with Caputo fractional derivative on time scales

Abstract In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle, the nonlinear alternative of Leray–Sc...

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Bibliographic Details
Main Authors: Jamal Eddine Lazreg, Nadia Benkhettou, Mouffak Benchohra, Erdal Karapinar
Format: Article
Language:English
Published: SpringerOpen 2022-03-01
Series:Fixed Point Theory and Algorithms for Sciences and Engineering
Subjects:
Initial value problem
Caputo’s fractional derivative
Sequential neutral functional differential equations
Fractional integral
Fixed point
Existence
Online Access:https://doi.org/10.1186/s13663-022-00716-9

Internet

https://doi.org/10.1186/s13663-022-00716-9

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