Existence, uniqueness and stability of solutions for generalized proportional fractional hybrid integro-differential equations with Dirichlet boundary conditions

Existence, uniqueness and stability of solutions for generalized proportional fractional hybrid integro-differential equations with Dirichlet boundary conditions

In this work, the existence of solutions for nonlinear hybrid fractional integro-differential equations involving generalized proportional fractional (GPF) derivative of Caputo-Liouville-type and multi-term of GPF integrals of Reimann-Liouville type with Dirichlet boundary conditions is investigated...

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Bibliographic Details
Main Authors: Zaid Laadjal, Fahd Jarad
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
incomplete gamma function
caputo-liouville proportional fractional derivative
hybrid fractional integro-differential equation
fixed point theorem
ulam-hyers stability
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023059https://www.aimspress.com/article/doi/10.3934/math.2023059?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023059https://www.aimspress.com/article/doi/10.3934/math.2023059?viewType=HTML

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