On global existence and Ulam-Hyers stability of $Psi-$Hilfer fractional integrodifferential equations

DOI10.22124/JMM.2020.16092.1405zbMath1499.45027OpenAlexW3165665876MaRDI QIDQ5855726

K. Vijaykumar, Reshimkar Anand Rajshekhar

Publication date: 19 March 2021

Full work available at URL: https://jmm.guilan.ac.ir/article_4256_0e004567c0b16e881392e5d615eb5536.pdf

zbMATH Keywords

Banach fixed-point theoremUlam-Hyers stabilityfractional integro-differential equations\(\Psi\)-Hilfer fractional derivative

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Stability theory for integral equations (45M10) Applications of operator theory to differential and integral equations (47N20)

Cites Work

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• Existence and uniqueness for a problem involving hilfer fractional derivative
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• Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type
• On the \(\psi\)-Hilfer fractional derivative
• Ulam stability for Hilfer type fractional differential inclusions via the weakly Picard operators theory
• Hyers-Ulam stability of delay differential equations of first order
• On the Stability of the Linear Mapping in Banach Spaces
• Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard derivative
• A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator

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