Existence and stability results for nonlinear implicit random fractional integro-differential equations

DOI10.1007/s12346-023-00772-5OpenAlexW4362699669MaRDI QIDQ2699212

Usman Riaz, Sana Ben Moussa, Sumbel Shahid, Akbar Zada, Shahid Saifullah

Publication date: 26 April 2023

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-023-00772-5

zbMATH Keywords

Hyers-Ulam stabilitymean square continuous solutionrandom fractional integro-differential equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Green's functions for ordinary differential equations (34B27) Fractional ordinary differential equations (34A08)

Related Items (1)

On a New Class of Impulsive η-Hilfer Fractional Volterra-Fredholm Integro-Differential Equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Solving random mean square fractional linear differential equations by generalized power series: analysis and computing
• On a coupled impulsive fractional integrodifferential system with Hadamard derivatives
• An explication of finite-time stability for fractional delay model with neutral impulsive conditions
• The existence and Hyers-Ulam stability of solution for an impulsive Riemann-Liouville fractional neutral functional stochastic differential equation with infinite delay of order \(1<\beta<2\)
• Ulam-Hyers stability of impulsive integrodifferential equations with Riemann-Liouville boundary conditions
• Hyers-Ulam stability of coupled implicit fractional integro-differential equations with Riemann-Liouville derivatives
• Existence and Ulam stability for random fractional integro-differential equation
• Analysis of nonlinear coupled systems of impulsive fractional differential equations with Hadamard derivatives
• Hyers-Ulam stability of impulsive integral equations
• Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives
• The Fractional Calculus for Some Stochastic Processes
• Mean square calculus and random linear fractional differential equations: Theory and applications
• On the Cauchy problem of a delay stochastic differential equation of arbitrary (fractional) orders
• Analysis of q‐fractional implicit boundary value problems having Stieltjes integral conditions
• On initial value problem of random fractional differential equation with impulses
• Basic Theory of Fractional Differential Equations
• A study on \(k\)-generalized \(\psi\)-Hilfer derivative operator
• On implicit fractional q‐difference equations: Analysis and stability

This page was built for publication: Existence and stability results for nonlinear implicit random fractional integro-differential equations