Nonlocal Boundary Value Problem for Generalized Hilfer Implicit Fractional Differential Equations

23 Jan 2020 Mali Ashwini D. Kucche Kishor D.

In this paper, we derive the equivalent fractional integral equation to the nonlinear implicit fractional differential equations involving $\varphi$-Hilfer fractional derivative subject to nonlocal fractional integral boundary conditions. The existence of a solution, Ulam-Hyers, and Ulam-Hyers-Rassias stability has been acquired by means equivalent fractional integral equation... (read more)

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  • DYNAMICAL SYSTEMS