Existence of mild solution for mixed Volterra-Fredholm integro fractional differential equation with non-instantaneous impulses

DOI10.1007/s12591-018-0410-1zbMath1485.45009OpenAlexW2794307523WikidataQ115376446 ScholiaQ115376446MaRDI QIDQ2116188

Jayanta Borah, Swaroop Nandan Bora

Publication date: 16 March 2022

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-018-0410-1

zbMATH Keywords

mild solutionBanach fixed point theoremKrasnoselskii's fixed point theoremimpulsefractional differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Functional-differential equations with fractional derivatives (34K37)

Related Items (2)

Approximate 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 spaces ⋮ Sufficient conditions for existence of integral solution for non-instantaneous impulsive fractional evolution equations

Cites Work

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• On a new class of impulsive fractional differential equations
• On the concept and existence of solution for impulsive fractional differential equations
• Nonlocal problems for fractional integrodifferential equations via fractional operators and optimal controls
• Existence and uniqueness of mild solutions to a semilinear integrodifferential equation of fractional order
• Existence of mild solutions for fractional neutral evolution equations
• A Cauchy problem for some fractional abstract differential equation with non local conditions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Monotone iterative technique for the initial value problem for differential equations with non-instantaneous impulses
• On fractional neutral integro-differential systems with state-dependent delay and non-instantaneous impulses
• On the new concept of solutions and existence results for impulsive fractional evolution equations
• Non-instantaneous impulses in Caputo fractional differential equations
• Variational approach to differential equations with not instantaneous impulses
• Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses
• Existence and uniqueness of mild solutions to impulsive fractional differential equations
• Basic Theory of Fractional Differential Equations
• Existence of solutions for fractional impulsive neutral functional infinite delay integrodifferential equations with nonlocal conditions
• On a new class of abstract impulsive functional differential equations of fractional order
• Variational approach to non-instantaneous impulsive nonlinear differential equations
• On a new class of abstract impulsive differential equations
• Existence and uniqueness of solutions of fractional quasilinear mixed integrodifferential equations with nonlocal condition in Banach spaces

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