Impulsive fractional differential inclusions with state-dependent delay
Copyright policy )Impulsive fractional differential inclusions with state-dependent delay
Summary: In this paper, we prove the existence of mild solution for impulsive fractional inclusions with state-dependent delay in Banach spaces. Our study is based on the nonlinear alternative of Leray-Schauder type for multivalued maps due to Martelli. An example is provided to illustrate the main result.
Functional-differential inclusions, Caputo fractional derivative, Applications of operator theory to differential and integral equations, \(\alpha\)-resolvent family, caputo fractional derivative, Functional-differential equations with state-dependent arguments, multivalued map, Functional-differential equations with impulses, impulsive fractional differential inclusions, banach spaces, Banach spaces, fixed point, Fractional derivatives and integrals, solution operator, QA1-939, mild solution, a-resolvent family, Mathematics, Functional-differential equations with fractional derivatives, Functional-differential equations in abstract spaces
Functional-differential inclusions, Caputo fractional derivative, Applications of operator theory to differential and integral equations, \(\alpha\)-resolvent family, caputo fractional derivative, Functional-differential equations with state-dependent arguments, multivalued map, Functional-differential equations with impulses, impulsive fractional differential inclusions, banach spaces, Banach spaces, fixed point, Fractional derivatives and integrals, solution operator, QA1-939, mild solution, a-resolvent family, Mathematics, Functional-differential equations with fractional derivatives, Functional-differential equations in abstract spaces
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