Fractional integro-differential equations with nonlocal conditions and ψ–Hilfer fractional derivative

Fractional integro-differential equations with nonlocal conditions and ψ–Hilfer fractional derivative

Considering a fractional integro-differential equation with nonlocal conditions involving a general form of Hilfer fractional derivative with respect to another function. We show that weighted Cauchy-type problem is equivalent to a Volterra integral equation, we also prove the existence, uniquenes...

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Bibliographic Details
Main Authors: Mohammed S. Abdo, Satish K. Panchal, Hussien Shafei Hussien
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2019-10-01
Series:Mathematical Modelling and Analysis
Subjects:
fractional integro-differential equations
ψ -Hilfer fractional derivative
ψ-fractional integral
existence and and Ulam-Hyers stability
fixed point theorem
Mittag-Leffler function
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/6330

Internet

https://journals.vgtu.lt/index.php/MMA/article/view/6330

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