On the study of existence of sequential fractional integro-differential equations with boundary conditions

Panjaiyan, Karthikeyan; Kesavan, Keerthivasan

doi:10.22075/ijnaa.2025.39688.5575

On the study of existence of sequential fractional integro-differential equations with boundary conditions

Articles in Press

Document Type : Research Paper

Authors

Karthikeyan Panjaiyan

Keerthivasan Kesavan

Department of Mathematics, Sri Vasavi College, Erode - 638 316, India

10.22075/ijnaa.2025.39688.5575

Abstract

This paper studies a boundary value problem of sequential fractional integro-differential equations. The uniqueness results are studied using the classical contraction mapping principle; however, the existence results are proved via D.O’Regan’s fixed point theorem. We also present an example to illustrate our findings.

Keywords

Mixed fractional derivative

boundary value problem

fixed point theorem

contraction mapping

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