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On Some Impulsive Fractional Integro-Differential Equation with Anti-Periodic Conditions.

Authors :
Alruwaily, Ymnah
Venkatachalam, Kuppusamy
El-hady, El-sayed
Source :
Fractal & Fractional; Apr2024, Vol. 8 Issue 4, p219, 13p
Publication Year :
2024

Abstract

We investigate a class of boundary value problems (BVPs) involving an impulsive fractional integro-differential equation (IF-IDE) with the Caputo–Hadamard fractional derivative (C-HFD). We employ some fixed-point theorems (FPTs) to study the existence of this fractional BVP and its unique solution. The boundary conditions (BCs) established in this study are of a more general type and can be reduced to numerous specific examples by defining the parameters involved in the conditions. In this way, we extend some recent nice results. At the end, we use an example to verify our results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
25043110
Volume :
8
Issue :
4
Database :
Complementary Index
Journal :
Fractal & Fractional
Publication Type :
Academic Journal
Accession number :
176878083
Full Text :
https://doi.org/10.3390/fractalfract8040219