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

Autor:	Ymnah Alruwaily, Kuppusamy Venkatachalam, El-sayed El-hady
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	impulsive integro-differential equations Caputo–Hadamard fractional derivative boundary value problems Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 8, Iss 4, p 219 (2024)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract8040219
Popis:	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.
Databáze:	Directory of Open Access Journals
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