Existence of solutions to differential inclusions with fractional order and impulses
Copyright policy )Existence of solutions to differential inclusions with fractional order and impulses
We establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative. We consider the cases when the multivalued nonlinear term takes convex values as well as nonconvex values. The topological structure of the set of solutions is also considered.
Differential inclusion, fractional integral, Caputo fractional derivative, caputo fractional derivative, existence, uniqueness, Existence, Fixed point, Ordinary differential equations with impulses, impulses, fixed point, Initial value problem, Fractional derivatives and integrals, QA1-939, Impulses, differential inclusion, Uniqueness, initial value problem, Mathematics, Fractional integral
Differential inclusion, fractional integral, Caputo fractional derivative, caputo fractional derivative, existence, uniqueness, Existence, Fixed point, Ordinary differential equations with impulses, impulses, fixed point, Initial value problem, Fractional derivatives and integrals, QA1-939, Impulses, differential inclusion, Uniqueness, initial value problem, Mathematics, Fractional integral
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!