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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 2
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Original Articles

On fractional integro-differential inclusions with state-dependent delay in Banach spaces

Mouffak Benchohra Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, BP 89, 22000 Sidi Bel-Abbès, Algérie
,
Sara Litimein Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, BP 89, 22000 Sidi Bel-Abbès, Algérie
&
Gaston N'Guérékata Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD 21252, USACorrespondenceGaston.N'[email protected]
Pages 335-350 | Received 17 Feb 2011, Accepted 12 Aug 2011, Published online: 26 Sep 2011

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Renu Chaudhary & Dwijendra N. Pandey. (2019) Existence results for a class of impulsive neutral fractional stochastic integro-differential systems with state dependent delay. Stochastic Analysis and Applications 37:5, pages 865-892.
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Articles from other publishers (20)

R. Pradeepa & R. Jayaraman. 2024. Advances in Mathematical Modeling and Scientific Computing. Advances in Mathematical Modeling and Scientific Computing 659 672 .
A. K. Omran & V. G. Pimenov. (2023) High-order numerical algorithm for fractional-order nonlinear diffusion equations with a time delay effect. AIMS Mathematics 8:4, pages 7672-7694.
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Hui Li, Yonggui Kao & Yangquan Chen. (2022) Mittag-Leffler Stability of Fractional-Order Nonlinear Differential Systems With State-Dependent Delays. IEEE Transactions on Circuits and Systems I: Regular Papers 69:5, pages 2108-2116.
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C. Dineshkumar, R. Udhayakumar, V. Vijayakumar, Kottakkaran Sooppy Nisar & Anurag Shukla. (2021) A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order . Mathematics and Computers in Simulation 190, pages 1003-1026.
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Samaneh Soradi Zeid. (2019) Approximation methods for solving fractional equations. Chaos, Solitons & Fractals 125, pages 171-193.
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Vikram Singh & Dwijendra N. Pandey. (2019) PC-Mild Solutions to Sobolev-Type Fractional Differential Equations with Non-instantaneous Impulses. Mediterranean Journal of Mathematics 16:4.
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Yong Zhou, S Suganya, M Mallika Arjunan & B Ahmad. (2019) Approximate controllability of impulsive fractional integro-differential equation with state-dependent delay in Hilbert spaces. IMA Journal of Mathematical Control and Information 36:2, pages 603-622.
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Alka Chadha & Dwijendra N. Pandey. (2017) Approximate Controllability of a Neutral Stochastic Fractional Integro-Differential Inclusion with Nonlocal Conditions. Journal of Theoretical Probability 31:2, pages 705-740.
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Alka Chadha, D. Bahuguna & Dwijendra N. Pandey. (2018) Existence of a mild solution for a neutral stochastic fractional integro-differential inclusion with a nonlocal condition. Journal of Integral Equations and Applications 30:2.
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Ganga Ram Gautam & Jaydev Dabas. (2017) A study on existence of solutions for fractional functional differential equations. Collectanea Mathematica 69:1, pages 25-37.
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Selvaraj Suganya & Mani Mallika Arjunan. (2017) Existence of Mild Solutions for Impulsive Fractional Integro-Differential Inclusions with State-Dependent Delay. Mathematics 5:1, pages 9.
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Alka Chadha & Dwijendra N. Pandey. (2015) Existence of the Mild Solution for Impulsive Neutral Stochastic Fractional Integro-Differential Inclusions with Nonlocal Conditions. Mediterranean Journal of Mathematics 13:3, pages 1005-1031.
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Selvaraj Suganya, Dumitru Baleanu, Siva Selvarasu & Mani Mallika Arjunan. (2016) About the Existence Results of Fractional Neutral Integrodifferential Inclusions with State-Dependent Delay in Fréchet Spaces. Journal of Function Spaces 2016, pages 1-9.
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Zuomao Yan & Xiumei Jia. (2015) Approximate controllability of fractional impulsive partial neutral integrodifferential inclusions with infinite delay in Hilbert spaces. Advances in Difference Equations 2015:1.
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Toufik Guendouzi & Lamia Bousmaha. (2015) Existence of Solutions for Fractional Partial Neutral Stochastic Functional Integro-Differential Inclusions with State-Dependent Delay and Analytic Resolvent Operators. Vietnam Journal of Mathematics 43:4, pages 687-704.
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S. Suganya, M. Mallika Arjunan & J.J. Trujillo. (2015) Existence results for an impulsive fractional integro-differential equation with state-dependent delay. Applied Mathematics and Computation 266, pages 54-69.
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Carlos Lizama & M. Pilar Velasco. (2015) Abstract Volterra equations with state-dependent delay. Journal of Integral Equations and Applications 27:2.
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Vidushi Gupta & Jaydev Dabas. 2015. Mathematical Analysis and its Applications. Mathematical Analysis and its Applications 417 428 .
Toufik Guendouzi & Lamia Bousmaha. (2014) Approximate Controllability of Fractional Neutral Stochastic Functional Integro-Differential Inclusions with Infinite Delay. Qualitative Theory of Dynamical Systems 13:1, pages 89-119.
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Toufik Guendouzi & Ouahiba Benzatout. (2014) Existence of Mild Solutions for Impulsive Fractional Stochastic Differential Inclusions with State-Dependent Delay. Chinese Journal of Mathematics 2014, pages 1-13.
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