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Deadline for Submissions: 31 December 2023 |
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Special Issue Editors |
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Guest Editor |
Dr Lakhlifa Sadek |
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Affiliation |
Faculty of Science, Department of Mathematics, Chouaib Doukkali University, Morrocco |
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Interests |
numerical analysis; special functions; fractional differential equations; fractional differential matrix equations |
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Guest Editor |
Prof. Dr. Dumitru Baleanu |
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Affiliation |
Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey |
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Interests |
fractional calculus; applied mathematics; control systems; nonlinear systems; mathematical physics |
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Guest Editor |
Prof. Dr. Thabet Abdeljawad |
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Affiliation |
Department of Mathematics and General Sciences, Prince Sultan University-Riyadh-KSA, Saudi Arabia |
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Interests |
nonlinear systems and analysis; topology; ordinary differential equations; dynamical systems |
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Guest Editor |
Prof. Dr. Fahd Jarad |
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Affiliation |
Department of Mathematics, Çankaya University, Ankara 06790, Turkey |
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Interests |
fractional calculus, fractional differential equations |
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Special Issue Information |
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Fractional problems, in general, have attracted progressively attention in the mathematical, engineering, and scientific communities attributable to their broad applications in modeling biological, engineering, and physical systems of interest in scientific computing and other disciplines. Pure mathematics focuses on the existence and uniqueness of solutions of such equations, while applied mathematics emphasizes the rigorous justification of the methods for approximating solutions. While applied mathematics emphasises the thorough explanation of the methods for approximating solutions, pure mathematics emphasises the existence and uniqueness of such equations' solutions.
Because of the computational cost needed to find an exact solution to such models, it is impossible or exceedingly difficult to solve such models analytically. In such a way, the development and implementation of efficient and accurate numerical algorithms for the simulation of solutions to these models continue to be an ambitious task.
Studying the convergence, error, and stability analyses of numerical and approximate methods for solving fractional problems: differential equations; partial differential equations, fractional differential equations, and integrodifferential equations is essential to judge the accuracy of the obtained numerical solutions in the absence of exact analytic solutions.
This Special Issue is mainly focused on addressing some efficient computational methods for accurately handling differential and integral problems. We invite original research and review articles which discuss these topics.
Potential topics include but are not limited to the following:
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· Ordinary differential equations · Ordinary differential matrix equations · Fractional differential equations · Fractional differential matrix equations · Partial differential equations · Volterra integral equations · Fredholm integral equations · Time-delay equations · Deterministic and stochastic dynamics · Finite difference algorithms · Finite element algorithms · Finite volume algorithms · Boundary value problems · Initial value problems |
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Published Papers |
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This special issue is now open for submission. |
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