Existence of mild solution for evolution equation with Hilfer fractional derivative
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Publication:299954
DOI10.1016/j.amc.2014.10.083zbMath1338.34014OpenAlexW1991397548MaRDI QIDQ299954
Publication date: 23 June 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.10.083
Nonlinear differential equations in abstract spaces (34G20) Fractional ordinary differential equations (34A08)
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NONEXISTENCE RESULTS FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL INEQUALITIES INVOLVING ERDÉLYI–KOBER FRACTIONAL DERIVATIVES ⋮ A new conversation on the existence of Hilfer fractional stochastic Volterra–Fredholm integro-differential inclusions via almost sectorial operators ⋮ Existence of mild solutions for Hilfer fractional evolution equations in Banach space ⋮ Topological Properties of Solution Sets for Hilfer Fractional Nonlocal Delay Control Systems and Applications ⋮ Existence of mild solutions for semilinear evolution equation using Hilfer fractional derivatives ⋮ Hilfer fractional differential equations with almost sectorial operators ⋮ CASE STUDY ON TOTAL CONTROLLABILITY AND OPTIMAL CONTROL OF HILFER NEUTRAL NON-INSTANTANEOUS FRACTIONAL DERIVATIVE ⋮ Sensitivity analysis for optimal control problems governed by Hilfer fractional differential hemivariational inequalities ⋮ Extremal mild solutions to Hilfer evolution equations with non-instantaneous impulses and nonlocal conditions ⋮ Optimal control for Hilfer fractional neutral integrodifferential evolution equations with infinite delay ⋮ Trajectory controllability of Hilfer fractional neutral stochastic differential equation with deviated argument and mixed fractional Brownian motion ⋮ Controllability of nonlinear Hilfer fractional Langevin dynamical system ⋮ Discussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delay ⋮ Hilfer fractional stochastic evolution equations on infinite interval ⋮ Null controllability of Hilfer fractional stochastic integrodifferential equations with noninstantaneous impulsive and Poisson jump ⋮ Unnamed Item ⋮ Almost sectorial operators on Ψ‐Hilfer derivative fractional impulsive integro‐differential equations ⋮ New results concerning to approximate controllability of Hilfer fractional neutral stochastic delay integro‐differential systems ⋮ A new exploration on existence of Sobolev‐type Hilfer fractional neutral integro‐differential equations with infinite delay ⋮ Existence of mild solutions for nonlocal evolution equations with the Hilfer derivatives ⋮ Decay mild solutions of Hilfer fractional differential variational-hemivariational inequalities ⋮ Exploration nonlocal controllability for Hilfer fractional differential inclusions with Clarke subdifferential and nonlinear noise ⋮ Study on Sobolev type Hilfer evolution equations with non-instantaneous impulses ⋮ The method of lower and upper solution for Hilfer evolution equations with non-instantaneous impulses ⋮ A note on the existence of Hilfer fractional differential inclusions with almost sectorial operators ⋮ On coupled nonlinear evolution system of fractional order with a proportional delay ⋮ Cauchy problems for Hilfer fractional evolution equations on an infinite interval ⋮ Investigating the existence results for Hilfer fractional stochastic evolution inclusions of order \(1< \mu < 2\) ⋮ Globally well-posedness results of the fractional Navier-Stokes equations on the Heisenberg group ⋮ Hilfer fractional neutral stochastic integro‐differential evolution hemivariational inequalities and optimal controls ⋮ An analysis concerning to the existence of mild solution for Hilfer fractional neutral evolution system on infinite interval ⋮ Controllability of Hilfer type fractional evolution neutral integro-differential inclusions with non-instantaneous impulses ⋮ Controllability results of Hilfer fractional derivative through integral contractors ⋮ Approximate controllability for Hilfer fractional stochastic evolution inclusion with nonlocal conditions ⋮ Further investigation of stochastic nonlinear Hilfer-fractional integro-differential inclusions using almost sectorial operators ⋮ Solvability and optimal control of semilinear fractional evolution equations with Riemann-Liouville fractional derivatives ⋮ An exploration of controllability on Hilfer fractional system via integral contractor ⋮ Approximate controllability for Hilfer fractional stochastic non-instantaneous impulsive differential system with Rosenblatt process and Poisson jumps ⋮ Approximate controllability of Ψ‐Caputo fractional differential equation ⋮ Boundary value problems for sequential Hilfer fractional differential equations and inclusions with integro-multistrip-multipoint boundary conditions ⋮ Study on the controllability of Hilfer fractional differential system with and without impulsive conditions via infinite delay ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Controllability of Hilfer Fractional Differential Systems with Non-Dense Domain ⋮ Qualitative analysis of fractional differential equations with $psi$-Hilfer fractional derivative ⋮ Periodic boundary value problems for fractional implicit differential equations involving Hilfer fractional derivative ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Controllability of Hilfer fractional noninstantaneous impulsive semilinear differential inclusions with nonlocal 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of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay ⋮ Approximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spaces ⋮ Existence results of Hilfer integro-differential equations with fractional order ⋮ On fractional boundary value problems involving fractional derivatives with Mittag-Leffler kernel and nonlinear integral conditions
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