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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 1
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Original Articles

On a class of fractional differential equations in a Sobolev space

Gisèle. M. Mophou Département de Mathématiques et Informatique, Université des Antilles et de la Guyane, Campus Fouillole, Pointe-à-Pitre 97159, Guadeloupe (FWI)
&
Gaston M. N'Guérékata Department of Mathematics, Morgan State University, 1700 East Cold Spring Lane Baltimore, MD 21251, USACorrespondenceGaston.N'[email protected]
Pages 15-34 | Received 02 Oct 2010, Accepted 05 Oct 2010, Published online: 16 Mar 2011

Citations (17)

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Abderrazek Chaoui & Ahmed Hallaci. (2018) On the solution of a fractional diffusion integrodifferential equation with Rothe time discretization. Numerical Functional Analysis and Optimization 39:6, pages 643-654.
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Articles from other publishers (16)

M. Krasnoshchok. (2022) Monotone iterations method for fractional diffusion equations. Matematychni Studii 57:2, pages 122-136.
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Mykola Krasnoschok & Nataliya Vasylyeva. (2022) Linear subdiffusion in weighted fractional Hölder spaces. Evolution Equations and Control Theory 11:4, pages 1455.
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Su Zhen Jiang & Yu Jiang Wu. (2021) Recovering a time-dependent potential function in a multi-term time fractional diffusion equation by using a nonlinear condition. Journal of Inverse and Ill-posed Problems 29:2, pages 233-248.
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Brice M. Yambiyo, Fatemeh Norouzi & Gaston M. N’Guérékata. 2021. Studies in Evolution Equations and Related Topics. Studies in Evolution Equations and Related Topics 51 67 .
Yaning Li & Quanguo Zhang. (2019) Blow-up and global existence of solutions for a time fractional diffusion equation. Fractional Calculus and Applied Analysis 21:6, pages 1619-1640.
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R. M. Dzhafarov & N. V. Krasnoshchek. (2018) The Cauchy Problem for the Fractional Diffusion Equation in a Weighted Hölder Space. Siberian Mathematical Journal 59:6, pages 1034-1050.
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A. Chaoui & N. Rezgui. (2017) Solution to fractional pseudoparabolic equation with fractional integral condition. Rendiconti del Circolo Matematico di Palermo Series 2 67:2, pages 205-213.
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Mykola Krasnoschok, Vittorino Pata & Nataliya Vasylyeva. (2018) Solvability of linear boundary value problems for subdiffusion equations with memory. Journal of Integral Equations and Applications 30:3.
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Nataliya Vasylyeva. (2015) Local Solvability of a Linear System with a Fractional Derivative in Time in a Boundary Condition. Fractional Calculus and Applied Analysis 18:4, pages 982-1005.
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. 2015. Abstract Volterra Integro-Differential Equations. Abstract Volterra Integro-Differential Equations 431 451 .
Mykola Krasnoschok & Nataliya Vasylyeva. (2014) On a nonclassical fractional boundary-value problem for the Laplace operator. Journal of Differential Equations 257:6, pages 1814-1839.
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Gisèle Mophou. (2014) Controllability of a backward fractional semilinear differential equation. Applied Mathematics and Computation 242, pages 168-178.
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Mykola Krasnoschok & Nataliya Vasylyeva. (2013) Existence and Uniqueness of the Solutions for Some Initial-Boundary Value Problems with the Fractional Dynamic Boundary Condition. International Journal of Partial Differential Equations 2013, pages 1-20.
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Gaston M. N’Guérékata. 2012. Bridging Mathematics, Statistics, Engineering and Technology. Bridging Mathematics, Statistics, Engineering and Technology 9 16 .
Gisèle M. Mophou & Gaston M. N’Guérékata. (2011) Optimal control of a fractional diffusion equation with state constraints. Computers & Mathematics with Applications 62:3, pages 1413-1426.
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René Dorville, Gisèle M. Mophou & Vincent S. Valmorin. (2011) Optimal control of a nonhomogeneous Dirichlet boundary fractional diffusion equation. Computers & Mathematics with Applications 62:3, pages 1472-1481.
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