Measure of Noncompactness for Nonlinear Hilfer Fractional Differential Equation in Banach Spaces

Authors : Abdellatif BOUTİARA, Maamar BENBACHIR, Kaddour GUERBATİ

Pages : 55-67

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Publication Date : 2019-10-16

Article Type : Research Paper

Abstract :This paper deals with nonlinear fractional differential equation with boundary value problem conditions. We investigate the existence of solutions in Banach spaces with Hilfer derivative. To obtain such result we apply Monch`s fi xed point theorem and the technique of measures of noncompactness. An example illustrating the theory is given.
Keywords : Fractional differential equation, Hilfer fractional derivative, Kuratowski measures of noncompactness