Stability analysis for fractional order implicit ψ‐Hilfer differential equations

The present research endeavor contains formulation of a new ψ‐Hilfer differential equation equipped with integral‐type subsidiary conditions. Utilizing Picard operator method, Banach contraction principle, and Gronwall inequality, we explore solution's properties of the underlying problem. We p...

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Veröffentlicht in:Mathematical methods in the applied sciences 2022-03, Vol.45 (5), p.2701-2712
Hauptverfasser: Asma, Gómez‐Aguilar, José Francisco, Rahman, Ghaus, Javed, Maryam
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Sprache:eng
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Zusammenfassung:The present research endeavor contains formulation of a new ψ‐Hilfer differential equation equipped with integral‐type subsidiary conditions. Utilizing Picard operator method, Banach contraction principle, and Gronwall inequality, we explore solution's properties of the underlying problem. We provide some assumptions to set up results related to uniqueness of solution for the underlying model. Furthermore, stability analysis is studied in the sense of Ulam Hyers Mittag Leffler's definition. We furnish illustrative examples for the vindication of our obtained analytical results.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7948