Existence of mild solutions to fractional integrodifferential equations of neutral type with infinite delay.
Li, Fang, Zhang, Jun (2011)
Advances in Difference Equations [electronic only]
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Displaying similar documents to “A note on a semilinear fractional differential equation of neutral type with infinite delay.”
Existence of mild solutions to fractional integrodifferential equations of neutral type with infinite delay.
Integrable solutions for implicit fractional order functional differential equations with infinite delay
Mouffak Benchohra, Mohammed Said Souid (2015)
Archivum Mathematicum
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In this paper we study the existence of integrable solutions for initial value problem for implicit fractional order functional differential equations with infinite delay. Our results are based on Schauder type fixed point theorem and the Banach contraction principle fixed point theorem.
Weighted fractional differential equations with infinite delay in Banach spaces
Qixiang Dong, Can Liu, Zhenbin Fan (2016)
Open Mathematics
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This paper is devoted to the study of fractional differential equations with Riemann-Liouville fractional derivatives and infinite delay in Banach spaces. The weighted delay is developed to deal with the case of non-zero initial value, which leads to the unboundedness of the solutions. Existence and uniqueness results are obtained based on the theory of measure of non-compactness, Schaude’s and Banach’s fixed point theorems. As auxiliary results, a fractional Gronwall type inequality...
Solvability of nonautonomous fractional integrodifferential equations with infinite delay.
Li, Fang (2011)
Advances in Difference Equations [electronic only]
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A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative.
Agarwal, Ravi P., Belmekki, Mohammed, Benchohra, Mouffak (2009)
Advances in Difference Equations [electronic only]
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Mittag-Leffler stability theorem for fractional nonlinear systems with delay.
Sadati, S.J., Baleanu, D., Ranjbar, A., Ghaderi, R., Abdeljawad, T. (Maraaba) (2010)
Abstract and Applied Analysis
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Fractional integro-differential inclusions with state-dependent delay
Khalida Aissani, Mouffak Benchohra, Khalil Ezzinbi (2014)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper, we establish sufficient conditions for the existence of mild solutions for fractional integro-differential inclusions with state-dependent delay. The techniques rely on fractional calculus, multivalued mapping on a bounded set and Bohnenblust-Karlin's fixed point theorem. Finally, we present an example to illustrate the theory.
Nonlinear delay integrodifferential systems with Caputo fractional derivative in infinite-dimensional spaces
JinRong Wang, Wei Wei (2012)
Annales Polonici Mathematici
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This paper is mainly concerned with existence of mild solutions and optimal controls for nonlinear delay integrodifferential systems with Caputo fractional derivative in infinite-dimensional spaces. We do not assume that the relevant strongly continuous semigroup is compact.
Razumikhin stability theorem for fractional systems with delay.
Baleanu, D., Sadati, S.J., Ghaderi, R., Ranjbar, A., Abdeljawad, T., Jarad, F. (2010)
Abstract and Applied Analysis
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Functional-differential equations with Riemann-Liouville integrals in the nonlinearities
Milan Medveď (2014)
Mathematica Bohemica
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A sufficient condition for the nonexistence of blowing-up solutions to evolution functional-differential equations in Banach spaces with the Riemann-Liouville integrals in their right-hand sides is proved. The linear part of such type of equations is an infinitesimal generator of a strongly continuous semigroup of linear bounded operators. The proof of the main result is based on a desingularization method applied by the author in his papers on integral inequalities with weakly singular...
Nonlinear Implicit Hadamard’s Fractional Differential Equationswith Delay in Banach Space
Mouffak Benchohra, Soufyane Bouriah, Jamal E. Lazreg, Juan J. Nieto (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper, we establish sufficient conditions for the existence of solutions for nonlinear Hadamard-type implicit fractional differential equations with finite delay. The proof of the main results is based on the measure of noncompactness and the Darbo’s and Mönch’s fixed point theorems. An example is included to show the applicability of our results.