Ulam–Hyers stability of pantograph fractional stochastic differential equations

DOI10.1002/mma.8745OpenAlexW4296959215MaRDI QIDQ6182969

Lassaad Mchiri, Hafedh Rguigui, Abdellatif Ben Makhlouf

Publication date: 22 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8745

zbMATH Keywords

Caputo derivativeUlam stability

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Fractional derivatives and integrals (26A33) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Existence, uniqueness, almost sure polynomial stability of solution to a class of highly nonlinear pantograph stochastic differential equations and the Euler-Maruyama approximation
• On Caputo modification of the Hadamard fractional derivatives
• Ulam-Hyers stability of Caputo type fractional stochastic neutral differential equations
• On the fractional Adams method
• Fractional calculus and its applications. Proceedings of the international conference held at the University of New Haven, June 1974
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Continuous \(\Theta\)-methods for the stochastic pantograph equation
• On Lagrange duality theory for dynamics vaccination games
• A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability
• Ulam stability for fractional partial integro-differential equation with uncertainty
• Ulam-Hyers-Rassias stability of stochastic functional differential equations via fixed point methods
• Well-posedness and regularity of Caputo-Hadamard fractional stochastic differential equations
• \(p\)th moment exponential stability of neutral stochastic pantograph differential equations with Markovian switching
• Investigation of the \(p\)-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives
• \(h\)-stability in \(p\)th moment of neutral pantograph stochastic differential equations with Markovian switching driven by Lévy noise
• Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay
• Some results on the study of Caputo-Hadamard fractional stochastic differential equations
• Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
• Caputo–Hadamard Fractional Derivatives of Variable Order
• Applications of Fractional Calculus to the Theory of Viscoelasticity
• Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation
• Asymptotic separation between solutions of Caputo fractional stochastic differential equations
• New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second‐order spatio‐temporal dispersion via double Laplace transform method
• Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations
• Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching
• Fractional differentiation matrices with applications
• Existence and stability results for random impulsive fractional pantograph equations
• On the Stability of the Linear Functional Equation

This page was built for publication: Ulam–Hyers stability of pantograph fractional stochastic differential equations