Abstract
In this paper, we prove the existence and uniqueness of solutions for a system of fractional differential equations with Riemann-Liouville integral boundary conditions of different order. Our results are based on the nonlinear alternative of Leray-Schauder type and Banach’s fixed-point theorem. An illustrative example is also presented.
Highlights
1 Introduction In this paper, we investigate a boundary value problem of first-order fractional differential equations with Riemann-Liouville integral boundary conditions of different order given by
Fractional differential equations have recently been addressed by several researchers for a variety of problems
The following lemmas gives some properties of Riemann-Liouville fractional integrals and Caputo fractional derivative [ ]
Summary
1 Introduction In this paper, we investigate a boundary value problem of first-order fractional differential equations with Riemann-Liouville integral boundary conditions of different order given by Fractional differential equations have recently been addressed by several researchers for a variety of problems. We prove the existence and uniqueness of solutions for the system For at least n-times continuously differentiable function g : [ , ∞) → R, the Caputo derivative of fractional order q is defined as cDqg(t) =
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