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Acta Mathematica Vietnamica

Analytic Study on Boundary Value Problem of Implicit Differential Equations via Composite Fractional Derivative

D. Vivek , icon-email E. M. Elsayed , K. Kanagarajan

Abstract

This paper is devoted to investigate implicit differential equations with boundary condition, which involves the composite fractional derivative in weighted space. The existence and uniqueness of the solution are obtained using the classic fixed point theorems. As an application, an example is presented to illustrate the main results.