Existence and uniqueness of solution for class of fractional order differential equations on an unbounded domain

Abstract

In this article, we established the existence and uniqueness of the solution for a generalized class of fractional order differential equations involving the RiemannLiouville differential operator on unbounded domain [0, +∞). The contraction principle has been used to obtain the results in this article.

Investigating a Coupled Hybrid System of Nonlinear Fractional Differential Equations

“…One of the powerful tools for obtaining the existence of solutions to such equations is the fixed point methods. Many authors use fixed point theorems to prove the existence and uniqueness of solution to nonlinear fractional differential equations; see, for example, [13][14][15][16][17].…”