CAPUTO-TYPE FRACTIONAL SYSTEMS WITH VARIABLE ORDER DEPENDING ON THE IMPULSES AND CHANGING THE KERNEL

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Cites Work

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Impulsive boundary value problem for differential equations with fractional order
A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
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A Caputo fractional derivative of a function with respect to another function
Retraction notice to: ``New numerical method for ordinary differential equations: Newton polynomial
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Existence and data dependence theorems for solutions of an ABC-fractional order impulsive system
Study of impulsive fractional differential equation under Robin boundary conditions by topological degree method
Qualitative analysis of fractional relaxation equation and coupled system with \(\Psi\)-Caputo fractional derivative in Banach spaces
A new fractional operator of variable order: application in the description of anomalous diffusion
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On nonlocal problems for fractional differential equations in Banach spaces
Impulsive fractional differential equations in Banach spaces
Existence of solutions of abstract fractional impulsive semilinear evolution equations
A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator
Advances in Fractional Calculus
Basic Theory of Fractional Differential Equations

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