Some Fractional Calculus Findings Associated With the Incomplete I-Functions
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Date
2020
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Springer
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Abstract
In this article, several interesting properties of the incomplete I-functions associated with the Marichev-Saigo-Maeda (MSM) fractional operators are studied and investigated. It is presented that the order of the incomplete I-functions increases about the utilization of the above-mentioned operators toward the power multiple of the incomplete I-functions. Further, the Caputo-type MSM fractional order differentiation for the incomplete I-functions is studied and investigated. Saigo, Riemann-Liouville, and Erdelyi-Kober fractional operators are also discussed as specific cases.
Description
Jangid, Kamlesh/0000-0002-3138-3564; Purohit, S. D./0000-0002-1098-5961
Keywords
Fractional Calculus Operators, Incomplete Gamma Functions, Incomplete I-Functions, Mellin-Barnes Type Contour, Economics, Incomplete gamma functions, Mellin–Barnes type contour, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Differential equation, QA1-939, FOS: Mathematics, Fractional calculus operators, Biology, Anomalous Diffusion Modeling and Analysis, Order (exchange), Numerical Analysis, Ecology, Applied Mathematics, FOS: Clinical medicine, Fractional calculus, Pure mathematics, Partial differential equation, Incomplete I-functions, Applied mathematics, Modeling and Simulation, FOS: Biological sciences, Dentistry, Physical Sciences, Medicine, Fractional Calculus, Calculus (dental), Type (biology), Mathematics, Ordinary differential equation, Finance, incomplete gamma functions, incomplete \(I\)-functions, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Fractional derivatives and integrals, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), General spectral theory of ordinary differential operators, Mellin-Barnes-type contour, fractional calculus operators
Turkish CoHE Thesis Center URL
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Jangid, Kamlesh...et al. (2020). "Some fractional calculus findings associated with the incomplete I-functions", Advances in Difference Equations, vol. 2020, No. 1.
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Q1
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13
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Advances in Difference Equations
Volume
2020
Issue
1
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CrossRef : 5
Scopus : 30
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