Stability Theory and the Existence of Hilfer Type Fractional Implicit Differential Equations with Boundary Conditions

Authors : D. Vivek, K. Kanagarajan, Elsayed Elsayed

Pages : 279-287

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Publication Date : 2019-10-15

Article Type : Research

Abstract :In this paper, we consider the existence and Ulam stability of solutions to the boundary value problem for implicit differential equations involving Hilfer fractional derivative. With the help of properties of Hilfer fractional calculus and fixed point methods, we derive existence and stability results.
Keywords : Fractional implicit differential equations, Boundary value problem, Hilfer fractional derivative