Computable Solution of Fractional Kinetic Equations Using Mathieu-Type Series
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Date
2019
Journal Title
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Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Average
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Top 10%
Abstract
The Mathieu series appeared in the study of elasticity of solid bodies in the work of Emile Leonard Mathieu. Since then numerous authors have studied various problems arising from the Mathieu series in several diverse ways. In this line, our aim is to study the solution of fractional kinetic equations involving generalized Mathieu-type series. The generality of this series will help us to deduce results related to a fractional kinetic equation involving another form of Mathieu series. To obtain the solution, we use the Laplace transform technique. Besides, a graphical representation is given to observe the behavior of the obtained solutions.
Description
Khan, Owais/0000-0003-1565-4122; Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320
Keywords
Generalized Fractional Kinetic Equation, Mathieu-Type Series, Laplace Transform, Sumudu Transform, Sumudu transform, Thermoelastic Damping and Heat Conduction, Laplace transform, Mathematical analysis, Engineering, Differential equation, QA1-939, FOS: Mathematics, Series (stratigraphy), Biology, Anomalous Diffusion Modeling and Analysis, Time-Fractional Diffusion Equation, Mathieu function, Paleontology, Statistical and Nonlinear Physics, Applied mathematics, Physics and Astronomy, Generalized fractional kinetic equation, Mechanics of Materials, Modeling and Simulation, Physical Sciences, Mathieu-type series, Mathematics, Ordinary differential equation, Rogue Waves in Nonlinear Systems, Fractional derivatives and integrals, Fractional partial differential equations, generalized fractional kinetic equation, Special integral transforms (Legendre, Hilbert, etc.)
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Khan, Owais...et al. (2019). "Computable solution of fractional kinetic equations using Mathieu-type series", Advances in Difference Equations.
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Q1
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OpenCitations Citation Count
9
Source
Advances in Difference Equations
Volume
2019
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Scopus : 18
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