An existence study on the fractional coupled nonlinear \(q\)-difference systems via quantum operators along with Ulam-Hyers and Ulam-Hyers-Rassias stability
DOI10.1155/2022/4483348zbMath1501.39002OpenAlexW4296935342MaRDI QIDQ2086484
Chatthai Thaiprayoon, Shahram Rezapour, Akbar Zada, Weerawat Sudsutad, Chernet Tuge Deressa, Sina Etemad
Publication date: 25 October 2022
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2022/4483348
contraction principleUlam-Hyers stabilityLeray-Schauder's fixed-point theoremCaputo quantum boundary value problems
Fractional derivatives and integrals (26A33) Stability, separation, extension, and related topics for functional equations (39B82) Difference equations, scaling ((q)-differences) (39A13) Stability theory for difference equations (39A30) Boundary value problems for difference equations (39A27)
Cites Work
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- Positive solutions for a class of higher order boundary value problems with fractional \(q\)-derivatives
- Positive solutions for a class of boundary value problems with fractional \(q\)-differences
- Positive solutions for boundary value problem of nonlinear fractional \(q\)-difference equation
- Nonlocal \(q\)-symmetric integral boundary value problem for sequential \(q\)-symmetric integrodifference equations
- Ulam type stability for a coupled system of boundary value problems of nonlinear fractional differential equations
- Ulam stability of Caputo \(q\)-fractional delay difference equation: \(q\)-fractional Gronwall inequality approach
- Computational study on the dynamics of fractional order differential equations with applications
- The existence and Hyers-Ulam stability of solution for an impulsive Riemann-Liouville fractional neutral functional stochastic differential equation with infinite delay of order \(1<\beta<2\)
- On multi-step methods for singular fractional \(q\)-integro-differential equations
- Solutions of two fractional \(q\)-integro-differential equations under sum and integral boundary value conditions on a time scale
- On four-point fractional \(q\)-integrodifference boundary value problems involving separate nonlinearity and arbitrary fractional order
- Ulam stability to a toppled systems of nonlinear implicit fractional order boundary value problem
- Existence and uniqueness of solutions for multi-term fractional \(q\)-integro-differential equations via quantum calculus
- A novel fractional structure of a multi-order quantum multi-integro-differential problem
- Positive solutions for eigenvalue problems of fractional \(q\)-difference equation with \(\varphi\)-Laplacian
- Oscillation and nonoscillation results for the Caputo fractional \(q\)-difference equations and inclusions
- Boundary value problems of nonlinear fractional q-difference (integral) equations with two fractional orders and four-point nonlocal integral boundary conditions
- Existence and Hyers-Ulam stability of random impulsive stochastic functional differential equations with finite delays
- The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm
- Quantum calculus
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