Boundary Value Problems for Fractional Differential Equation in Special Banach Space

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Beddani Moustafa, Hedia Benaouda, Boundary Value Problems for Fractional Differential Equation in Special Banach Space, Int. J. Anal. Appl., 19 (2) (2021), 239-251.

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Beddani Moustafa, Hedia Benaouda

Abstract

This paper studies the existence of solutions of boundary value problem for fractional differential equations on the half-line in a special Banach space. The main result is based on Monch fixed point theorem combining with a suitable measure of non-compactness, an example is given to illustrate our approach.

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