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International Journal of Computer Mathematics Volume 96, 2019 - Issue 2: A special collection of papers relating to or containing fractions
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Original Article

Fractional Sturm–Liouville problems for Weber fractional derivatives

Mohammad Hossein DerakhshanDepartment of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, Shahrekord, Iran
&
Alireza AnsariDepartment of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, Shahrekord, IranCorrespondence[email protected]
Pages 217-237 | Received 14 Mar 2017, Accepted 21 Nov 2017, Published online: 29 Jan 2018

Citations (13)

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Mohammadhossein Derakhshan & Azim Aminataei. (2023) New approach for the chaotic dynamical systems involving Caputo-Prabhakar fractional derivative using Adams-Bashforth scheme. Journal of Difference Equations and Applications 29:6, pages 640-656.
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Articles from other publishers (12)

Alireza Ansari. (2023) Comparative analysis for fractional Laplace and Helmholtz equations on sphere with mixed boundary conditions. Computational and Applied Mathematics 42:8.
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Erdal Bas & Merve Karaoglan. (2023) Representation of solution the M-Sturm-Liouville problem with natural transform. International Journal of Mathematics and Computer in Engineering 0:0.
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Jing Li & Jiangang Qi. (2023) Continuous dependence of eigenvalues on potential functions for nonlocal Sturm–Liouville equations. Mathematical Methods in the Applied Sciences 46:9, pages 10617-10623.
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Alireza Ansari & Mohammad Hossein Derakhshan. (2023) On spectral polar fractional Laplacian. Mathematics and Computers in Simulation 206, pages 636-663.
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Malgorzata Klimek, Mariusz Ciesielski & Tomasz Blaszczyk. (2022) Exact and Numerical Solution of the Fractional Sturm–Liouville Problem with Neumann Boundary Conditions. Entropy 24:2, pages 143.
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Jing Li & Mengran Wang. (2021) Spectral Problem and Initial Value Problem of a Nonlocal Sturm-Liouville Equation. Qualitative Theory of Dynamical Systems 20:2.
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Pavel Chigansky & Marina Kleptsyna. (2021) Sharp asymptotics in a fractional Sturm-Liouville problem. Fractional Calculus and Applied Analysis 24:3, pages 715-738.
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Jing Li & Jiangang Qi. (2020) On a nonlocal Sturm–Liouville problem with composite fractional derivatives. Mathematical Methods in the Applied Sciences 44:2, pages 1931-1941.
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Mohammadhossein Derakhshan & Azim Aminataei. (2020) A new approach for solving variable order differential equations based on Bernstein polynomials with Prabhakar function. Computational and Mathematical Methods 2:5.
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Erdal Bas & Bahar Acay. (2020) The direct spectral problem via local derivative including truncated Mittag-Leffler function. Applied Mathematics and Computation 367, pages 124787.
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Mohammad Hossein Derakhshan & Alireza Ansari. (2019) Numerical approximation to Prabhakar fractional Sturm–Liouville problem. Computational and Applied Mathematics 38:2.
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Mohammad Hossein Derakhshan & Alireza Ansari. (2018) On Hyers–Ulam stability of fractional differential equations with Prabhakar derivatives. Analysis 38:1, pages 37-46.
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