Nonlinear equations with degenerate operator at fractional Caputo derivative
Sign Up to like & getrecommendations! 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
Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4617
Abstract: R. Almeida was supported by Portuguese funds through the CIDMA-Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (FCT-Fundacao para a Ciencia e a Tecnologia), within project… read more here.
Keywords: respect kernel; equations caputo; caputo derivative; fractional differential ... See more keywords
Decay of solutions to parabolic-type problem with distributed order Caputo derivative
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.04.067
Abstract: Abstract We consider the decay of solution to a fractional diffusion equation with distributed order Caputo derivative. We assume that the elliptic operator is time-dependent and that the weight function, contained in the definition of… read more here.
Keywords: order caputo; decay solutions; caputo derivative; distributed order ... See more keywords
Anti-periodic boundary value problems with Riesz–Caputo derivative
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DOI: 10.1186/s13662-019-2001-z
Abstract: This paper is concerned with a class of anti-periodic boundary value problems for fractional differential equations with the Riesz–Caputo derivative, which can reflected both the past and the future nonlocal memory effects. By means of… read more here.
Keywords: riesz caputo; periodic boundary; boundary value; caputo derivative ... See more keywords
Approximate Controllability of Fractional Evolution Equations with ψ-Caputo Derivative
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DOI: 10.3390/sym15051050
Abstract: The primary objective of this study is to investigate the concept of approximate controllability in fractional evolution equations that involve the ψ-Caputo derivative. Specifically, we examine the scenario where the semigroup is compact and analytic.… read more here.
Keywords: caputo derivative; fractional evolution; controllability fractional; evolution equations ... See more keywords