Academic Journal
Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions: Investigation of fractional calculus for extended Wright hypergeometric matrix functions
| Title: | Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions: Investigation of fractional calculus for extended Wright hypergeometric matrix functions |
|---|---|
| Authors: | Mohamed Niyaz, Ahmed H. Soliman, Ahmed Bakhet |
| Source: | Abstract and Applied Analysis, Vol 2023 (2023) |
| Publisher Information: | Wiley, 2023. |
| Publication Year: | 2023 |
| Subject Terms: | Composite material, Barnes integral, Matrix function, Confluent hypergeometric function, Matrix (chemical analysis), Symmetric matrix, Mittag-Leffler functions and generalizations, 01 natural sciences, Quantum mechanics, Orthogonal Polynomials, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Classical hypergeometric functions, \({}_2F_1\), Fractional derivatives and integrals, QA1-939, FOS: Mathematics, Hypergeometric identity, Hypergeometric function, 0101 mathematics, Gamma, beta and polygamma functions, Matrix Algorithms and Iterative Methods, Bilateral hypergeometric series, Eigenvalues and eigenvectors, Algebra over a field, Applied Mathematics, Physics, Pure mathematics, Wright, Generalized hypergeometric function, Basic hypergeometric series, Applied mathematics, Computer science, Atomic and Molecular Physics, and Optics, Materials science, Programming language, Parity-Time Symmetry in Optics and Quantum Mechanics, Computational Theory and Mathematics, Physics and Astronomy, Physical Sciences, Computer Science, Hypergeometric function of a matrix argument, Mathematics, Hypergeometric Functions |
| Description: | Throughout this paper, we will present a new extension of the Wright hypergeometric matrix function by employing the extended Pochhammer matrix symbol. First, we present the extended hypergeometric matrix function and express certain integral equations and differential formulae concerning it. We also present the Mellin matrix transform of the extended Wright hypergeometric matrix function. After that, we present some fractional calculus findings for these expanded Wright hypergeometric matrix functions. Lastly, we present several theorems of the extended Wright hypergeometric matrix function in fractional Kinetic equations. |
| Document Type: | Article Other literature type |
| File Description: | application/xml; text/xhtml |
| Language: | English |
| ISSN: | 1687-0409 1085-3375 |
| DOI: | 10.1155/2023/9505980 |
| DOI: | 10.60692/8g06s-k9f10 |
| DOI: | 10.60692/fwz9t-ttn44 |
| Access URL: | https://doaj.org/article/ab8cb2fbd3364e648dde6b3013aa51b4 |
| Rights: | CC BY |
| Accession Number: | edsair.doi.dedup.....9b8eaed588060e18d367fb172d9774d9 |
| Database: | OpenAIRE |
| ISSN: | 16870409 10853375 |
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| DOI: | 10.1155/2023/9505980 |