SOME RESULTS ON ψ-CAPUTO FRACTIONAL INTEGRO DIFFERENTIAL EQUATIONS

Document Type : Regular research papers

Authors

1 Sri Vasavi College

2 Department of Mathematics, Government College of Engineering, Erode - 638 316, India

3 Department of Mathematics,KSR College Arts and Science For Women, Namakkal - 637 215

Abstract

In this article, we discuss the existence and uniqueness of solution for fractional integro differential equation involving ψ- Caputo fractional derivative with boundary conditions. Within the measures of noncompactness , the Kuratowski measure and the Hausdorff measures and out as the most significant. In instance, the Hausdorff measure is widely utilized throughout numerous industries of nonlinear analysis and its related applications. Nonlinear fractional boundary value problems exhibit a broad range of applications in economics,
financial mathematics, and other applied sciences. Recently, there has been a theoretical focus on exploring results for fractional differential or integro-differential equations with boundary conditions. Techniques from nonlinear analysis, like the Banach fixed theorem, Leray-Schauder theory, etc., have been employed. The primary analysis is based on the Holder’s inequality, and Monch fixed-point theorem to prove the existence of solutions and establish the sufficient conditions and significance. An example is provided to demonstrate the applicability of finding results.

Keywords

Main Subjects

Files

Share

How to cite

Statistics