Existence and Ulam-Hyers stability results for a class of fractional integro-differential equations involving nonlocal fractional integro-differential boundary conditions
Copyright policy )Existence and Ulam-Hyers stability results for a class of fractional integro-differential equations involving nonlocal fractional integro-differential boundary conditions
In this paper, we investigate the existence and uniqueness of solutions for a class of fractional integro- differential boundary value problems involving both Riemann–Liouville and Caputo fractional derivatives, and supplemented with multi-point and nonlocal Riemann-Liouville fractional integral and Caputo fractional deriv- ative boundary conditions. Our results are based on some known tools of fixed point theory. We also study the Ulam–Hyers stability for the proposed fractional problems. Finally, some illustrative examples are included to verify the validity of our results.
Artificial intelligence, Class (philosophy), Fractional Differential Equations, fixed point theorem, Ulam-Hyers stability, Integro-Differential Equations, Theory and Applications of Fractional Differential Equations, Existence Results, Mathematical analysis, Differential equation, Machine learning, QA1-939, FOS: Mathematics, Stability (learning theory), Integral equations, Functional Differential Equations, Boundary value problem, Anomalous Diffusion Modeling and Analysis, Caputo fractional derivative, fractional integro-differential equations, Applied Mathematics, Physics, existence, Fractional calculus, Partial Differential Equations, Applied mathematics, Computer science, Nonlocal Partial Differential Equations and Boundary Value Problems, nonlocal boundary conditions, Modeling and Simulation, Physical Sciences, Thermodynamics, Differential (mechanical device), Riemann-Liouville fractional integral, Mathematics
Artificial intelligence, Class (philosophy), Fractional Differential Equations, fixed point theorem, Ulam-Hyers stability, Integro-Differential Equations, Theory and Applications of Fractional Differential Equations, Existence Results, Mathematical analysis, Differential equation, Machine learning, QA1-939, FOS: Mathematics, Stability (learning theory), Integral equations, Functional Differential Equations, Boundary value problem, Anomalous Diffusion Modeling and Analysis, Caputo fractional derivative, fractional integro-differential equations, Applied Mathematics, Physics, existence, Fractional calculus, Partial Differential Equations, Applied mathematics, Computer science, Nonlocal Partial Differential Equations and Boundary Value Problems, nonlocal boundary conditions, Modeling and Simulation, Physical Sciences, Thermodynamics, Differential (mechanical device), Riemann-Liouville fractional integral, Mathematics
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