Existence of the mild solutions for impulsive fractional equations with infinite delay

From MaRDI portal
Publication:762982

DOI10.1155/2011/793023zbMath1239.34094OpenAlexW2170727216WikidataQ58686835 ScholiaQ58686835MaRDI QIDQ762982

Jaydev Dabas, Archana Chauhan, Mukesh Kumar

Publication date: 8 March 2012

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/793023




Related Items (30)

Existence of mild solutions for impulsive fractional integro-differential inclusions with state-dependent delayStability of mild solutions of the fractional nonlinear abstract Cauchy problemSolvability of fractional order semi-linear stochastic impulsive differential equation with state-dependent delayExistence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delayMild solutions for class of neutral fractional functional differential equations with not instantaneous impulsesA note on the mild solutions of Hilfer impulsive fractional differential equationsApproximate controllability of semilinear fractional stochastic control systemA new method for converting boundary value problems for impulsive fractional differential equations to integral equations and its applicationsApproximate controllability of impulsive fractional evolution equations of order 1<α<2$$ 1&amp;amp;amp;lt;\alpha &amp;amp;amp;lt;2 $$ with state‐dependent delay in Banach spacesAveraging principle for non‐Lipschitz fractional stochastic evolution equations with random delays modulated by two‐time‐scale Markov switching processesThe existence and asymptotic behavior of solutions to fractional stochastic evolution equations with infinite delayControllability of impulsive fractional functional integro-differential equations in Banach spacesExistence and uniqueness of mild solution for nonlocal impulsive integro-differential equation with state dependent delayExistence of mild solutions for impulsive fractional functional integro-differential equationsSome results for impulsive fractional differential inclusions with infinite delay and sectorial operators in Banach spacesA study on the mild solution of impulsive fractional evolution equationsExistence results for an impulsive fractional integro-differential equation with state-dependent delayApproximate controllability of Sobolev-type fractional functional stochastic integro-differential systemsExistence of solutions and approximate controllability of impulsive fractional stochastic differential systems with infinite delay and Poisson jumps.The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBmFractional evolution equations with infinite delay under Carathéodory conditionsApproximate controllability for a class of non-instantaneous impulsive stochastic fractional differential equation driven by fractional Brownian motionExistence of Solution for Fractional Stochastic Integro-Differential Equation with Impulsive EffectExistence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delayLocal and global existence of mild solution to an impulsive fractional functional integro-differential equation with nonlocal conditionEXISTENCE OF SOLUTIONS OF A CLASS OF IMPULSIVE PERIODIC TYPE BVPS FOR SINGULAR FRACTIONAL DIFFERENTIAL SYSTEMSApproximation theorems for controllability problem governed by fractional differential equationControllability of neutral fractional functional equations with impulses and infinite delayLocal and global existence of mild solution for impulsive fractional stochastic differential equationsExistence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay



Cites Work


This page was built for publication: Existence of the mild solutions for impulsive fractional equations with infinite delay