On the Solutions of Certain Fractional Kinetic Equations Involving K-Mittag Function
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Date
2018
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Publisher
Springer
Open Access Color
GOLD
Green Open Access
Yes
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Abstract
The aim of the present paper is to develop a new generalized form of the fractional kinetic equation involving a generalized k-Mittag-Leffler function E-k,zeta,eta(gamma,rho)(center dot). The solutions of fractional kinetic equations are discussed in terms of the Mittag-Leffler function. Further, numerical values of the results and their graphical interpretation is interpreted to study the behavior of these solutions. The results established here are quite general in nature and capable of yielding both known and new results.
Description
Agarwal, Praveen/0000-0001-7556-8942; Chand, Dr. Mehar/0000-0002-7980-273X; Jain, Shilpi/0000-0002-0906-2801
Keywords
Fractional Kinetic Equation, Laplace Transforms, Generalized K-Mittag-Leffler Function, Evolutionary biology, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Differential equation, QA1-939, FOS: Mathematics, Classical mechanics, Generalized k-Mittag-Leffler function, Biology, Anomalous Diffusion Modeling and Analysis, Interpretation (philosophy), Numerical Analysis, Mittag-Leffler function, Fractional kinetic equation, Time-Fractional Diffusion Equation, Applied Mathematics, Physics, Laplace transforms, Fractional calculus, Pure mathematics, Partial differential equation, Applied mathematics, Computer science, Functional equation, Programming language, Function (biology), Modeling and Simulation, Mathematical physics, Physical Sciences, Kinetic energy, Mathematics, Ordinary differential equation, Mittag-Leffler functions and generalizations, Fractional derivatives and integrals, fractional kinetic equation, Fractional partial differential equations, generalized \(k\)-Mittag-Leffler function
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Agarwal, P...et al. (2018). On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function, Advances in Difference Equations.
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Q1
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OpenCitations Citation Count
38
Source
Advances in Difference Equations
Volume
2018
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CrossRef : 8
Scopus : 55
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