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Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 10
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Articles

Cauchy problem for fractional diffusion-wave equations with variable coefficients

Pages 2211-2242 | Received 17 Oct 2013, Accepted 08 Dec 2013, Published online: 24 Jan 2014

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Qifeng Zhang, Lingling Liu & Chengjian Zhang. (2022) Compact scheme for fractional diffusion-wave equation with spatial variable coefficient and delays. Applicable Analysis 101:6, pages 1911-1932.
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Yong-Gang Chen, Fan Yang & Feng Tian. (2023) The Landweber Iterative Regularization Method for Identifying the Unknown Source of Caputo-Fabrizio Time Fractional Diffusion Equation on Spherically Symmetric Domain. Symmetry 15:7, pages 1468.
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Tran Ngoc Thach, Nguyen Huu Can & Vo Viet Tri. (2021) Identifying the initial state for a parabolic diffusion from their time averages with fractional derivative. Mathematical Methods in the Applied Sciences 46:7, pages 7751-7766.
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Zichen Yao, Zhanwen Yang, Yongqiang Fu & Simin Liu. (2023) Stability analysis of fractional-order differential equations with multiple delays: The case . Chinese Journal of Physics.
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Hongjie Dong & Yanze Liu. (2022) Weighted mixed norm estimates for fractional wave equations with VMO coefficients. Journal of Differential Equations 337, pages 168-254.
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Chung-Sik Sin, Jin-U Rim & Hyon-Sok Choe. (2022) Initial-boundary value problems for multi-term time-fractional wave equations. Fractional Calculus and Applied Analysis 25:5, pages 1994-2019.
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Z. A. Subhonova & A. A. Rahmonov. (2022) Problem of Determining the Time Dependent Coefficient in the Fractional Diffusion-Wave Equation. Lobachevskii Journal of Mathematics 42:15, pages 3747-3760.
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F. G. Khushtova. (2022) Third Boundary Value Problem in a Half-Strip for the Fractional Diffusion Equation. Differential Equations 57:12, pages 1610-1618.
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Tran Ngoc Thach, Devendra Kumar, Nguyen Hoang Luc & Nguyen Duc Phuong. (2021) On a semilinear fractional reaction-diffusion equation with nonlocal conditions. Alexandria Engineering Journal 60:6, pages 5511-5520.
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Joel E. Restrepo, Michael Ruzhansky & Durvudkhan Suragan. (2021) Explicit solutions for linear variable–coefficient fractional differential equations with respect to functions. Applied Mathematics and Computation 403, pages 126177.
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Ф.Г. Хуштова. (2020) The second boundary value problem in a half-strip for a B-parabolic equation with the Gerasimov–Caputo time derivative. Вестник КРАУНЦ. Физико-математические науки:4, pages 37-50.
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Nguyen Hoang Luc, Dumitru Baleanu, Le Dinh Long & Nguyen-Huu Can. (2020) Reconstructing the right-hand side of a fractional subdiffusion equation from the final data. Journal of Inequalities and Applications 2020:1.
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M. O. Mamchuev. (2020) On the Well-Posedness of Boundary Value Problems for a Fractional Diffusion-Wave Equation and One Approach to Solving Them. Differential Equations 56:6, pages 756-760.
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Nguyen Huy Tuan, Yong Zhou, Le Dinh Long & Nguyen Huu Can. (2020) Identifying inverse source for fractional diffusion equation with Riemann–Liouville derivative. Computational and Applied Mathematics 39:2.
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L. P. Nizhnik & I. L. Nizhnik. (2020) Deterministic Diffusion. Ukrainian Mathematical Journal 71:11, pages 1781-1801.
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Ngoc Tran, Vo Van Au, Yong Zhou & Nguyen Huy Tuan. (2019) On a final value problem for fractional reaction‐diffusion equation with Riemann‐Liouville fractional derivative. Mathematical Methods in the Applied Sciences 43:6, pages 3086-3098.
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Xiaoyan Su & Jiqiang Zheng. (2020) Hölder regularity for the time fractional Schrödinger equation. Mathematical Methods in the Applied Sciences.
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Vladimir E. Fedorov & Aliya A. Abdrakhmanova. 2020. Transmutation Operators and Applications. Transmutation Operators and Applications 509 538 .
Arlúcio Viana. (2019) A local theory for a fractional reaction-diffusion equation. Communications in Contemporary Mathematics 21:06, pages 1850033.
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Bazhlekova Emilia. (2018) Subordination in a Class of Generalized Time-Fractional Diffusion-Wave Equations. Fractional Calculus and Applied Analysis 21:4, pages 869-900.
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Фатима Гидовна Хуштова & Fatima Gidovna Khushtova. (2018) К проблеме единственности решения задачи Коши для уравнения дробной диффузии с оператором БесселяOn the uniqueness of the solution of the Cauchy problem for the equation of fractional diffusion with Bessel operator. Вестник Самарского государственного технического университета. Серия «Физико-математические науки» Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences 22:4, pages 774-784.
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Yuri Luchko. (2017) On Some New Properties of the Fundamental Solution to the Multi-Dimensional Space- and Time-Fractional Diffusion-Wave Equation. Mathematics 5:4, pages 76.
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Lyubomir Boyadjiev & Yuri Luchko. (2017) Mellin integral transform approach to analyze the multidimensional diffusion-wave equations. Chaos, Solitons & Fractals 102, pages 127-134.
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Andrei Khrennikov, Klaudia Oleschko & María Correa López. (2016) Modeling Fluid’s Dynamics with Master Equations in Ultrametric Spaces Representing the Treelike Structure of Capillary Networks. Entropy 18:7, pages 249.
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M. Kelbert, V. Konakov & S. Menozzi. (2016) Weak error for Continuous Time Markov Chains related to fractional in time P(I)DEs. Stochastic Processes and their Applications 126:4, pages 1145-1183.
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M. O. Mamchuev. (2015) Modified cauchy problem for a loaded second-order parabolic equation with constant coefficients. Differential Equations 51:9, pages 1137-1144.
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Anatoly N. Kochubei. (2014) Asymptotic properties of solutions of the fractional diffusion-wave equation. Fractional Calculus and Applied Analysis 17:3, pages 881-896.
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