Well-posed conditions on a class of fractional \(q\)-differential equations by using the Schauder fixed point theorem
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Publication:2167259
DOI10.1186/s13662-021-03631-2zbMath1494.34053OpenAlexW3212786864WikidataQ115241162 ScholiaQ115241162MaRDI QIDQ2167259
Ahmad Ahmadi, A. George Maria Selvam, Shahram Rezapour, Mohammad Esmael Samei, Jehad O. Alzabut
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03631-2
Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)
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Cites Work
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- A generalized \(q\)-fractional Gronwall inequality and its applications to nonlinear delay \(q\)-fractional difference systems
- Existence and uniqueness of solutions for a coupled system of multi-term nonlinear fractional differential equations
- \(q\)-fractional calculus and equations
- Multiple positive solutions for fractional differential systems
- Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Existence of a positive solution to a class of fractional differential equations
- Positive solution to a singular \(p\)-Laplacian BVP with sign-changing nonlinearity involving derivative on time scales
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations
- A fixed point theorem and the Ulam stability in generalized dq-metric spaces
- Existence results to positive solutions of fractional BVP with \(q\)-derivatives
- On the existence of solutions for some infinite coefficient-symmetric Caputo-fabrizio fractional integro-differential equations
- An analysis on the positive solutions for a fractional configuration of the Caputo multiterm semilinear differential equation
- Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions
- On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation
- A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative
- On the existence of solutions for a multi-singular pointwise defined fractional \(q\)-integro-differential equation
- A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions
- On a system of fractional \(q\)-differential inclusions via sum of two multi-term functions on a time scale
- Investigation of the \(p\)-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives
- Existence of solutions for a system of singular sum fractional \(q\)-differential equations via quantum calculus
- Pata type contractions involving rational expressions with an application to integral equations
- Ulam-Hyers stability results for fixed point problems via \(\alpha\)-\(\psi\)-contractive mapping in \((b)\)-metric space
- An admissible hybrid contraction with an Ulam type stability
- Solutions of the nonlinear integral equation and fractional differential equation using the technique of a fixed point with a numerical experiment in extended \(b\)-metric space
- Existence and uniqueness of positive solutions to \(m\)-point boundary value problem for nonlinear fractional differential equation
- Existence results for a fraction hybrid differential inclusion with Caputo-Hadamard type fractional derivative
- Inequalities on Time Scales: A Survey
- Nontrivial solutions for fractional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>q</mml:mi></mml:math>-difference boundary value problems
- Discrete Fractional Calculus
- Fractional q-Calculus on a time scale
- Existence and attractivity results for ѱ-Hilfer hybrid fractional differential equations
- Fixed point theorems in complete modular metric spaces and an application to anti-periodic boundary value problems
- APPROXIMATE ENDPOINT SOLUTIONS FOR A CLASS OF FRACTIONAL q-DIFFERENTIAL INCLUSIONS BY COMPUTATIONAL RESULTS
- Existence of solutions for k‐dimensional system of multi‐term fractional q‐integro‐differential equations under anti‐periodic boundary conditions via quantum calculus
- Positive solutions for multipoint boundary value problem of fractional differential equations
- Quantum calculus
- Fixed point results on \(\Delta\)-symmetric quasi-metric space via simulation function with an application to Ulam stability
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