Mittag–Leffler Stability for Impulsive Caputo Fractional Differential Equations
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DOI: 10.1007/s12591-017-0384-4
Abstract: The stability properties of Caputo fractional differential equations with impulses are studied. Both types of impulses, non-instantaneous impulses as well as instantaneous impulses are considered. The two approaches in the literature for the interpretation ofsolutions… read more here.
Keywords: impulsive caputo; mittag leffler; fractional differential; caputo fractional ... See more keywords
Controllability of a Class of Impulsive ψ-Caputo Fractional Evolution Equations of Sobolev Type
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DOI: 10.3390/axioms11060283
Abstract: In this paper, we investigate the controllability of a class of impulsive ψ-Caputo fractional evolution equations of Sobolev type in Banach spaces. Sufficient conditions are presented by two new characteristic solution operators, fractional calculus, and… read more here.
Keywords: impulsive caputo; controllability class; class impulsive; evolution equations ... See more keywords
Multiterm Impulsive Caputo-Hadamard Type Differential Equations of Fractional Variable Order
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DOI: 10.3390/axioms11110634
Abstract: In this study, we deal with an impulsive boundary value problem (BVP) for differential equations of variable fractional order involving the Caputo–Hadamard fractional derivative. The fundamental problems of existence and uniqueness of solutions are studied,… read more here.
Keywords: hadamard type; impulsive caputo; caputo hadamard; multiterm impulsive ... See more keywords