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

D. Vivek, E. M. Elsayed and K. Kanagarajan
Acta mathematica vietnamica, Vol.46(3), pp.531-543
01/09/2021

Abstract

Mathematics Physical Sciences Science & Technology
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.

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