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

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 con...

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Veröffentlicht in:Fractal and fractional 2021-03, Vol.5 (1), p.1
Hauptverfasser: Salim, Abdelkrim, Benchohra, Mouffak, Graef, John R., Lazreg, Jamal Eddine
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Sprache:eng
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Zusammenfassung: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.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract5010001