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We establish sufficient conditions for the existence and uniqueness of solutions for a class of nonlinear fractional integrodifferential equations with boundary conditions involving $$\psi $$ -Hilfer fractional derivative of order… Click to show full abstract
We establish sufficient conditions for the existence and uniqueness of solutions for a class of nonlinear fractional integrodifferential equations with boundary conditions involving $$\psi $$ -Hilfer fractional derivative of order $$0<\alpha <1 $$ and type $$0\le \beta \le 1$$ . Different types of Ulam–Hyers stability for solutions of the given problem are also discussed. The desired results are proved in weighted spaces with the aid of fixed point theorems due to Schauder, Schaefer and Banach together with generalized Gronwall inequality. Examples illustrating the obtained results are presented.
Journal Title: Journal of Pseudo-differential Operators and Applications
Year Published: 2020
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