Existence results of \(\psi\)-Hilfer integro-differential equations with fractional order in Banach space

DOI10.2478/aupcsm-2020-0013zbMath1524.34195OpenAlexW3060657278WikidataQ115227969 ScholiaQ115227969MaRDI QIDQ6160714

Mohammed A. Almalahi, Satish K. Panchal

Publication date: 26 June 2023

Published in: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/aupcsm-2020-0013

zbMATH Keywords

Mönch fixed point theorem\(\psi\)-Hilfer fractional derivative\(\delta\)-approximate solution\(E_\alpha\)-Ulam-Hyers stability

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Functional-differential equations in abstract spaces (34K30) Functional-differential equations with fractional derivatives (34K37) Perturbations of functional-differential equations (34K27)

Related Items (4)

Some new results for \(\psi\)-Hilfer fractional pantograph-type differential equation depending on \(\psi\)-Riemann-Liouville integral ⋮ Topological degree method for a \(\psi \)-Hilfer fractional differential equation involving two different fractional orders ⋮ Unnamed Item ⋮ On the periodic solutions for nonlinear Volterra-Fredholm integro-differential equations with ψ-Hilfer fractional derivative

Cites Work

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