Nonlocal initial value problems for differential equations with Hilfer fractional derivative

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Publication:669424

DOI10.1016/j.amc.2015.05.144zbMath1410.34032OpenAlexW838455493MaRDI QIDQ669424

Yuruo Zhang, JinRong Wang

Publication date: 15 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.144




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integro-differential systemsExistence and uniqueness results for sequential \(\psi\)-Hilfer fractional pantograph differential equations with mixed nonlocal boundary conditionsStability and boundedness of solutions of the initial value problem for a class of time-fractional diffusion equationsAn analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domainExistence and stability results for \(\psi\)-Hilfer fractional integro-differential equation with mixed nonlocal boundary conditionsHilfer-type fractional differential equations with variable coefficientsCoupled systems of Hilfer fractional differential inclusions in Banach spacesBoundary value problems for Hilfer type sequential fractional differential equations and inclusions involving Riemann-Stieltjes integral multi-strip boundary conditionsStudy on the mild solution of Sobolev type Hilfer fractional evolution equations with boundary conditionsUnnamed ItemE α -Ulam-Hyers Stability Result for ψ -Hilfer Nonlocal Fractional Differential EquationExistence, Uniqueness and Stability Results of Fractional Volterra-Fredholm Integro Differential Equations of ψ -Hilfer TypeA survey on Hadamard and Hilfer fractional differential equations: Analysis and stabilityApproximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spacesExistence and stability results to a class of fractional random implicit differential equations involving a generalized Hilfer fractional derivativeExistence results of Hilfer integro-differential equations with fractional orderA study on impulsive Hilfer fractional evolution equations with nonlocal conditionsNonlocal coupled system for \(\psi\)-Hilfer fractional order Langevin equationsUnnamed ItemExistence of mild solutions for semilinear evolution equation using Hilfer fractional derivativesCASE STUDY ON TOTAL CONTROLLABILITY AND OPTIMAL CONTROL OF HILFER NEUTRAL NON-INSTANTANEOUS FRACTIONAL DERIVATIVEOptimal control for Hilfer fractional neutral integrodifferential evolution equations with infinite delayConstructive existence of solutions of multi-point boundary value problem for Hilfer fractional differential equation at resonanceSwitched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivativesDiscussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delayUnnamed ItemNew results concerning to approximate controllability of Hilfer fractional neutral stochastic delay integro‐differential systemsA new exploration on existence of Sobolev‐type Hilfer fractional neutral integro‐differential equations with infinite delayAttractivity of implicit differential equations with composite fractional derivativeExistence of mild solutions for nonlocal evolution equations with the Hilfer derivativesOn coupled systems for Hilfer fractional differential equations with nonlocal integral boundary conditionsInvestigating the existence results for Hilfer fractional stochastic evolution inclusions of order \(1< \mu < 2\)Non‐uniqueness of solution for non‐instantaneous impulsive Hilfer–Hadamard fractional‐order systemResults on the approximate controllability of Hilfer type fractional semilinear control systemsHilfer and Hadamard Functional Random Fractional Differential InclusionsWell-posedness and Ulam-Hyers stability of Hilfer fractional differential equations of order \((1,2\) with nonlocal boundary conditions] ⋮ Boundary value problems for sequential Hilfer fractional differential equations and inclusions with integro-multistrip-multipoint boundary conditionsCoupled Hilfer fractional differential systems with random effectsUnnamed ItemUnnamed ItemUnnamed ItemImplicit coupled Hilfer-Hadamard fractional differential systems under weak topologiesUnnamed ItemControllability of Hilfer Fractional Differential Systems with Non-Dense 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derivativeExistence results for a nonlocal coupled system of sequential fractional differential equations involving \(\psi\)-Hilfer fractional derivativesUnnamed ItemStudy on Hilfer-Katugampola fractional implicit differential equations with nonlocal conditionsUnnamed ItemExistence, uniqueness and stability of implicit switched coupled fractional differential equations of \(\psi \)-Hilfer typeUnnamed ItemSolvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferentialExistence and attractivity results for Hilfer fractional differential equationsOn fractional neutral integro-differential systems with state-dependent delay and non-instantaneous impulsesNonlocal initial value problem for hybrid generalized Hilfer-type fractional implicit differential equationsFractional differential inclusions of Hilfer type under weak topologies in Banach spacesSuccessive approximations for random coupled Hilfer fractional differential systemsAnalytic study on boundary value problem of implicit differential equations via composite fractional derivativeNonlocal initial value problems for implicit differential equations with Hilfer–Hadamard fractional derivativeHilfer-type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditionsOn Hilfer fractional difference operatorAttractivity for Hilfer fractional stochastic evolution equationsExistence of mild solutions for impulsive neutral Hilfer fractional evolution equationsExistence of solutions of generalized fractional differential equation with nonlocal initial conditionHilfer-Hadamard nonlocal integro-multipoint fractional boundary value problemsHilfer and Hadamard coupled Volterra fractional integro-differential systems with random effectsOn the behavior of solutions of fractional differential equations on time scale via Hilfer fractional derivativesExistence of positive solutions for period BVPs with Hilfer derivativeGlobal attracting solutions to Hilfer fractional differential inclusions of Sobolev type with noninstantaneous impulses and nonlocal conditionsUnnamed ItemStability analysis for boundary value problems with generalized nonlocal condition via Hilfer-Katugampola fractional derivativeNonlocal boundary value problems for Hilfer-type pantograph fractional differential equations and inclusionsExistence results for Hilfer fractional evolution equations with boundary conditionsHyers-Ulam stability of a coupled system of fractional differential equations of Hilfer-Hadamard typeHilfer fractional stochastic integro-differential equationsCoupled Hilfer and Hadamard random fractional differential systems with finite delay in generalized Banach spacesOn a Hilfer fractional differential equation with nonlocal Erdélyi-Kober fractional integral boundary conditionsNull controllability of nonlocal Sobolev-Type Hilfer fractional stochastic differential system driven by fractional Brownian motion and Poisson jumpsExistence of solutions for fractional differential equations with Ψ-Hilfer fractional derivative with nonlocal integral boundary conditions



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