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2015•International Journal of Computer MathematicsRequires access

On the existence and uniqueness of solutions to a new class of fractional boundary value problems

A. Neamaty, Milad Yadollahzadeh, Rahmat Darzi, Bahram Agheli

Open publisher page 2 citations

Abstract

In this article, we verify the existence and uniqueness of solution for a class of nonlinear boundary value problem for fractional differential equation of order 3<α≤4, with the standard fractional derivative in the sense of Riemann–Liouville. By using a variety of tools including the Schauder fixed-point theorem, the Krasnoseĺskii fixed-point theorem and contraction mapping principle, existence and uniqueness results are obtained. Some examples are given to expression the results.

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What this paper is about

In this article, we verify the existence and uniqueness of solution for a class of nonlinear boundary value problem for fractional differential equation of order 3<α≤4, with the standard fractional derivative in the sense of Riemann–Liouville. By using a variety of tools including the Schauder fixed-point theorem, the Krasnoseĺskii fixed-point theorem and contraction mapping principle, existence and uniqueness results are obtained. Some examples are given to expression the results.

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Available abstract

In this article, we verify the existence and uniqueness of solution for a class of nonlinear boundary value problem for fractional differential equation of order 3<α≤4, with the standard fractional derivative in the sense of Riemann–Liouville. By using a variety of tools including the Schauder fixed-point theorem, the Krasnoseĺskii fixed-point theorem and contraction mapping principle, existence and uniqueness results are obtained. Some examples are given to expression the results.

Key concepts: Mathematics, Uniqueness, Fixed-point theorem, Schauder fixed point theorem, Fractional calculus, Boundary value problem, Mathematical analysis, Contraction mapping

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