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
On impulsive nonlocal integro-initial value problems involving multi-order Caputo-type generalized fractional derivatives and generalized fractional integrals
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DOI: 10.1186/s13662-019-2183-4
Abstract: In this paper, we present sufficient criteria ensuring the existence and uniqueness of solutions for nonlinear impulsive multi-order Caputo-type generalized fractional differential equations supplemented with nonlocal integro-initial value conditions involving generalized fractional integrals. Extremal solutions… read more here.
Keywords: multi order; caputo type; generalized fractional; type generalized ... See more keywords
Analysis of mixed-order Caputo fractional system with nonlocal integral boundary condition
Sign Up to like & getrecommendations! Published in 2018 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1709-71
Abstract: This paper deals with a mixed-order Caputo fractional system with nonlocal integral boundary conditions. This study can be considered as an extension of previous studies, since the orders of the equations lie on different intervals.… read more here.
Keywords: nonlocal integral; mixed order; order caputo; fractional system ... See more keywords