Articles with "fractional caputo" as a keyword



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Nonlinear equations with degenerate operator at fractional Caputo derivative

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Published in 2017 at "Mathematical Methods in The Applied Sciences"

DOI: 10.1002/mma.3830

Abstract: At first, the existence of a unique solution for the Cauchy problem to nondegenerate fractional differential equation was proved. These results were used for research of the unique solvability for the initial Cauchy and Showalter–Sidorov… read more here.

Keywords: caputo derivative; operator fractional; nonlinear equations; fractional caputo ... See more keywords
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On a hybrid fractional Caputo–Hadamard boundary value problem with hybrid Hadamard integral boundary value conditions

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Published in 2020 at "Advances in Difference Equations"

DOI: 10.1186/s13662-020-02914-4

Abstract: In the present research article, we find some important criteria on the existence of solutions for a class of the hybrid fractional Caputo–Hadamard differential equations and its corresponding inclusion problem supplemented with hybrid Hadamard integral… read more here.

Keywords: value; hybrid fractional; fractional caputo; boundary value ... See more keywords
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On Lyapunov-type inequalities for boundary value problems of fractional Caputo-Fabrizio derivative

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Published in 2020 at "Turkish Journal of Mathematics"

DOI: 10.3906/mat-1905-118

Abstract: In this study, Lyapunov-type inequalities for fractional boundary value problems involving the fractional Caputo Fabrizio differential equation with mixed boundary conditions when the fractional order of $\beta \in 1,2]$ and Dirichlet-type boundary condition when the… read more here.

Keywords: lyapunov type; value; fractional caputo; boundary value ... See more keywords