A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation

DOI10.1515/math-2016-0019zbMath1351.45010OpenAlexW2378960123MaRDI QIDQ317858

Vida Kalvandi, Nasrin Eghbali, John Michael S. Rassias

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2016-0019

zbMATH Keywords

Bielecki normChebyshev normfractional-order delay integral equationMittag-Leffler-Hyers-Ulam stability

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fractional derivatives and integrals (26A33) Stability theory for integral equations (45M10)

Related Items (11)

Stability results of some fractional neutral integrodifferential equations with delay ⋮ Unnamed Item ⋮ Ulam-Hyers-Mittag-Leffler stability of fractional difference equations with delay ⋮ Ulam-Hyers-Mittag-Leffler stability for nonlinear fractional neutral differential equations ⋮ Unnamed Item ⋮ Existence, uniqueness, and Mittag-Leffler-Ulam stability results for Cauchy problem involving \(\psi \)-Caputo derivative in Banach and Fréchet spaces ⋮ ON FRACTIONAL VOLTERRA INTEGRODIFFERENTIAL EQUATIONS WITH FRACTIONAL INTEGRABLE IMPULSES ⋮ Mittag-Leffler-Hyers-Ulam stability of delay fractional differential equation via fractional Fourier transform ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Mittag-Leffler-Hyers-Ulam stability of differential equation using Fourier transform

Cites Work

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• On a new class of impulsive fractional differential equations
• Ulam-Hyers stability of fractional Langevin equations
• Nonlinear impulsive problems for fractional differential equations and Ulam stability
• New stability results for fractional integral equation
• Ulam stability for fractional differential equation in complex domain
• New concepts and results in stability of fractional differential equations
• Ulam-Hyers stability for Cauchy fractional differential equation in the unit disk
• A generalized Gronwall inequality and its application to a fractional differential equation
• Solution of a problem of Ulam
• On approximation of approximately linear mappings by linear mappings
• A fixed point approach to the stability of differential equations \(y'=F(x,y)\)
• Existence and Ulam-Hyers Stability of ODEs involving two Caputo fractional derivatives
• GENERALIZED ULAM–HYERS STABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS
• Ulam’s type stability of Hadamard type fractional integral equations
• Ulam stability and data dependence for fractional differential equations with Caputo derivative
• On the Stability of the Linear Mapping in Banach Spaces
• A class of impulsive nonautonomous differential equations and Ulam–Hyers–Rassias stability
• Ulam–Hyers–Mittag-Leffler stability of fractional-order delay differential equations

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