The existence and Ulam–Hyers stability results for $$\psi $$-Hilfer fractional integrodifferential equations
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DOI: 10.1007/s11868-020-00355-x
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 read more here.
Keywords: ulam hyers; hyers stability; integrodifferential equations; hilfer fractional ... See more keywords
Solutions to Riemann–Liouville fractional integrodifferential equations via fractional resolvents
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DOI: 10.1186/s13662-019-2463-z
Abstract: This paper is concerned with the semilinear fractional integrodifferential system with Riemann–Liouville fractional derivative. Firstly, we introduce the suitable C1−α$C_{1-\alpha }$-solution to Riemann–Liouville fractional integrodifferential equations in the new frame of fractional resolvents. Some properties… read more here.
Keywords: solutions riemann; liouville fractional; fractional resolvents; integrodifferential equations ... See more keywords
Existence and uniqueness of solutions for coupled systems of Liouville-Caputo type fractional integrodifferential equations with Erdélyi-Kober integral conditions
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DOI: 10.1515/ijnsns-2019-0299
Abstract: Abstract In this paper, we examine a coupled system of fractional integrodifferential equations of Liouville-Caputo form with nonlinearities depending on the unknown functions, as well as their lower-order fractional derivatives and integrals supplemented with coupled… read more here.
Keywords: integrodifferential equations; liouville caputo; erd lyi; lyi kober ... See more keywords