Existence and approximation of solution to neutral fractional differential equation with nonlocal conditions
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Publication:2006134
DOI10.1016/j.camwa.2015.02.003zbMath1443.34084OpenAlexW2024150894WikidataQ115359519 ScholiaQ115359519MaRDI QIDQ2006134
Alka Chadha, Dwijendra Narain Pandey
Publication date: 8 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.02.003
analytic semigroupBanach fixed point theoremnonlocal conditionsCaputo derivativeFaedo-Galerkin approximationsneutral fractional differential equation
Numerical methods for integral equations (65R20) Theoretical approximation of solutions to functional-differential equations (34K07) Functional-differential equations with fractional derivatives (34K37)
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Solvability of fractional order semi-linear stochastic impulsive differential equation with state-dependent delay ⋮ A class of piecewise fractional functional differential equations with impulsive ⋮ Faedo-Galerkin approximate solutions for nonlocal fractional differential equation of Sobolev type ⋮ Controllability for a new class of fractional neutral integro-differential evolution equations with infinite delay and nonlocal conditions ⋮ Mild solutions to fractional differential inclusions with nonlocal conditions ⋮ Approximations of solutions of a neutral fractional integro-differential equation ⋮ Existence and approximation of solution to stochastic fractional integro-differential equation with impulsive effects ⋮ Faedo-Galerkin approximation of mild solutions of fractional functional differential equations ⋮ Approximation of solutions to stochastic neutral fractional integro-differential equation with nonlocal conditions ⋮ Faedo-Galerkin approximation of solution for a nonlocal neutral fractional differential equation with deviating argument ⋮ EXISTENCE RESULTS OF SOLUTIONS FOR SOME FRACTIONAL NEUTRAL FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY ⋮ New existence results on nonlocal neutral fractional differential equation in concepts of Caputo derivative with impulsive conditions ⋮ Results on neutral differential equation of Sobolev type with nonlocal conditions
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