Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions
نویسندگان
چکیده
Throughout this paper, we will present a new extension of the Wright hypergeometric matrix function by employing extended Pochhammer symbol. First, and express certain integral equations differential formulae concerning it. We also Mellin transform function. After that, some fractional calculus findings for these expanded functions. Lastly, several theorems in Kinetic equations.
منابع مشابه
Matrix Mittag-Leffler functions of fractional nabla calculus
In this article, we propose the definition of one parameter matrix Mittag-Leffler functions of fractional nabla calculus and present three different algorithms to construct them. Examples are provided to illustrate the applicability of suggested algorithms.
متن کاملFractional Calculus of the Generalized Wright Function
The paper is devoted to the study of the fractional calculus of the generalized Wright function pΨq(z) defined for z ∈ C, complex ai, bj ∈ C and real αi, βj ∈ R (i = 1, 2, · · · p; j = 1, 2, · · · , q) by the series
متن کاملSubclasses of analytic functions associated with Wright generalized hypergeometric functions
In this paper, we define a generalized class of starlike functions with negative coefficients and obtain coefficient estimates, distortion bounds, closure theorems and extreme points. Further we obtain modified Hadamard product, radii of close-to-convex, starlikeness and convexity for functions belonging to this class. Furthermore neighborhood results are discussed.
متن کاملExtended Triangular Operational Matrix For Solving Fractional Population Growth Model
In this paper, we apply the extended triangular operational matrices of fractional order to solve the fractional voltrra model for population growth of a species in a closed system. The fractional derivative is considered in the Caputo sense. This technique is based on generalized operational matrix of triangular functions. The introduced method reduces the proposed problem for solving a syst...
متن کاملCertain Properties of Extended Wright Generalized Hypergeometric Function
In this paper, we obtain the extended Wright generalized Hypergeometric function using extended Beta function. We also obtain certain integral representations, Mellin transform and some derivative properties of extended Wright generalized Hypergeometric function. Further, we represent extended Wright generalized Hypergeometric function in the form of Laguerre polynomials and Whittaker function.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2023
ISSN: ['1687-0409', '1085-3375']
DOI: https://doi.org/10.1155/2023/9505980