4.7 Article

Boundary Value Problem for Fractional Order Generalized Hilfer-Type Fractional Derivative with Non-Instantaneous Impulses

Journal

FRACTAL AND FRACTIONAL
Volume 5, Issue 1, Pages -

Publisher

MDPI
DOI: 10.3390/fractalfract5010001

Keywords

generalized hilfer fractional derivative; implicit fractional differential equations; non-instantaneous impulses; existence; gronwall lemma; fixed point; impulses; ulam stability

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This manuscript proves the existence of solutions to a class of boundary value problems for nonlinear implicit fractional differential equations with non-instantaneous impulses and generalized Hilfer fractional derivatives, using Banach's contraction principle and Krasnosel'skii's fixed point theorem. An example is provided to illustrate the results.
This manuscript is devoted to proving some results concerning the existence of solutions to a class of boundary value problems for nonlinear implicit fractional differential equations with non-instantaneous impulses and generalized Hilfer fractional derivatives. The results are based on Banach's contraction principle and Krasnosel'skii's fixed point theorem. To illustrate the results, an example is provided.

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