Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations

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Abstract

In this paper, we present some new existence and uniqueness results for nonlinear fractional differential equations of order q(1,2] with irregular boundary conditions in a Banach space. Our results are based on the contraction mapping principle and Krasnoselskii’s fixed point theorem.

Keywords

Nonlinear fractional differential equations
Irregular boundary conditions
Existence
Fixed point theorem

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