Existence and uniqueness of mild solution for nonlocal impulsive integro-differential equation with state dependent delay

DOI10.7153/fdc-04-08zbMath1412.34024OpenAlexW2507730638WikidataQ115157834 ScholiaQ115157834MaRDI QIDQ4626346

Ganga Ram Gautam, Jaydev Dabas, Archana Chauhan

Publication date: 27 February 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-04-08

zbMATH Keywords

mild solutioncontractionsimpulsive conditionfractional order differential equationfunctional differential inequalities

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items

A study on existence of solutions for fractional functional differential equations, Existence of mild solutions for impulsive fractional functional integro-differential equations

Cites Work

• On the concept and existence of solution for impulsive fractional differential equations
• Existence results for a fractional equation with state-dependent delay
• The existence and uniqueness of mild solutions for impulsive fractional equations with nonlocal conditions and infinite delay
• The existence of mild solutions for impulsive fractional partial differential equations
• Local and global existence of mild solutions for impulsive fractional semilinear integro-differential equation
• On fractional integro-differential equations with state-dependent delay
• Existence results for fractional neutral integro-differential equations with state-dependent delay
• On recent developments in the theory of abstract differential equations with fractional derivatives
• Existence of the mild solutions for impulsive fractional equations with infinite delay
• Existence of mild solutions for fractional neutral evolution equations
• Existence of solutions for impulsive neutral functional differential equations with nonlocal conditions
• A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence and uniqueness of mild solution for an impulsive neutral fractional integro-differential equation with infinite delay
• Almost automorphic mild solutions to fractional differential equations
• The functional calculus for sectorial operators
• Existence results for impulsive neutral functional differential equations with state-dependent delay
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