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description Journal article public Journal of Mathematical Analysis and Modeling

Positive Solutions for Generalized Two-term Fractional Differential Equations with Integral Boundary Conditions

Hanan A. Wahash, Satish K. Panchal
Published 2020

Abstract

In this paper, we consider a class of boundary value problems for nonlinear two-term fractional differential equations with integral boundary conditions involving two $\psi $-Caputo fractional derivative. With the help of the properties Green function, the fixed point theorems of Schauder and Banach, and the method of upper and lower solutions, we derive the existence and uniqueness of positive solution of a proposed problem. Finally, an example is provided to illustrate the acquired results.

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