Fractional Differential Equations with Periodic Boundary Conditions of Constant Ratio

TL;DR

This paper investigates the existence and uniqueness of solutions for fractional differential equations with periodic boundary conditions, using fixed point theorems and providing an example to demonstrate applicability.

Contribution

It introduces new existence and uniqueness results for fractional boundary value problems with periodic conditions, based on fixed point theorems.

Findings

Established conditions for solution existence and uniqueness

Provided an illustrative example demonstrating applicability

Extended fractional differential equations theory to periodic boundary conditions

Abstract

This article is concerned with the existence and uniqueness of solutions to some fractional order boundary value problems. Our results are based on some fixed point theorems. For the applicability of our results, we provide an example.