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International Journal of Computer Mathematics Volume 91, 2014 - Issue 12
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Section B

Operational method for solving fractional differential equations using cubic B-spline approximation

Xinxiu LiSchool of Natural Sciences, Nanjing University of Posts and Telecommunications, Nanjing210046, ChinaCorrespondence[email protected]
[email protected]
Pages 2584-2602 | Received 05 Mar 2013, Accepted 12 Jan 2014, Published online: 27 Mar 2014

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Abdolali Neamaty, Milad Yadollahzadeh, Rahmat Darzi & Bahram Agheli. (2016) On the existence and uniqueness of solutions to a new class of fractional boundary value problems. International Journal of Computer Mathematics 93:9, pages 1611-1627.
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Harendra Singh & Ramta Ram Pathak. (2024) Jacobi spectral method for the fractional reaction–diffusion equation arising in ecology. Mathematical Methods in the Applied Sciences 47:6, pages 5031-5045.
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Sonali NarsaleM.M., Hossein Jafari & Ram LodhiKishunKishun. (2023) A numerical study for solving multi-term fractional-order differential equations. Thermal Science 27:Spec. issue 1, pages 401-410.
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Abolfazl Ghasemian, Ali Behzadi, Aazam Shirvani & Yaqub Azari. (2020) The property of linear fractional integro-differential equations on the basis of the collocation method and the operational matrices of cubic B-spline wavelets. Journal of Zankoy Sulaimani - Part A 22:2, pages 281-292.
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A. S. V. Ravi Kanth & Neetu Garg. (2019) A numerical approach for a class of time-fractional reaction–diffusion equation through exponential B-spline method. Computational and Applied Mathematics 39:1.
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Mingzhu Li, Xiaohua Ding & Qiang Xu. (2018) Non-polynomial spline method for the time-fractional nonlinear Schrödinger equation. Advances in Difference Equations 2018:1.
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Gabriel Bengochea & Manuel D. Ortigueira. (2015) An operational approach to solve fractional continuous–time linear systems. International Journal of Dynamics and Control 5:1, pages 61-71.
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