A novel approach on the sequential type ψ-Hilfer pantograph fractional differential equation with boundary conditions
Elkhateeb S. Aly,
M. Latha Maheswari,
K. S. Keerthana Shri
et al.
Abstract:This article investigates sufficient conditions for the existence and uniqueness of solutions to the ψ-Hilfer sequential type pantograph fractional boundary value problem. Considering the system depends on a lower-order fractional derivative of an unknown function, the study is carried out in a special working space. Standard fixed point theorems such as the Banach contraction principle and Krasnosel’skii’s fixed point theorem are applied to prove the uniqueness and the existence of a solution, respectively. F… Show more
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