Results 41 to 50 of about 231,768 (268)

Generalized Fractional Integration of the H-Function Involving General Class of Polynomials

Walailak Journal of Science and Technology, 2014
In the present paper, we consider 2 integral transforms involving the Appell function F3 in the kernels. They generalize the fractional integral operators given by Saigo (1978).
Dinesh KUMAR, Praveen AGARWAL, Sunil Dutt PUROHIT   +2 more
doaj   +1 more source

MODEL SUBDIFFUSION RADON IN FRACTAL POROUS MEDIUM [PDF]

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2013
We consider a model of subdiffusion radon without advection. With the help of the Green’s function found a solution model. It is shown that it is a generalization of the previously known classical solutions.
R.I. Parovik
doaj   +1 more source

Integral transforms of an extended generalized multi-index Bessel function

AIMS Mathematics, 2020
In this paper, we discuss the extended generalized multi-index Bessel function by using the extended beta type function. Then we investigate its several properties including integral representation, derivatives, beta transform, Laplace transform, Mellin ...
Shahid Mubeen, Rana Safdar Ali, Iqra Nayab, Gauhar Rahman, Thabet Abdeljawad, Kottakkaran Sooppy Nisar   +5 more
doaj   +1 more source

Pathway fractional integral operators of generalized k-wright function and k4-function

Boletim da Sociedade Paranaense de Matemática, 2016
In the present work we introduce a composition formula of the pathway fractional integration operator with finite product of generalized K-Wright function and K4-function. The obtained results are in terms of generalized Wright function.Certain special cases of the main results given here are also considered to correspond with some known and new ...
Dinesh Kumar, Ram K. Saxena, Jitendra Daiya   +2 more
openalex   +5 more sources

Integrals Involving Aleph Function and Wright’s Generalized Hypergeometric Function

International Journal of Advanced Research in Mathematics, 2017
The aim of this paper is to establish certain integrals involving product of the Aleph function with Srivastava’s polynomials and Fox-Wright’s Generalized Hypergeometric function. Being unified and general in nature, these integrals yield a number of known and new results as special cases.
D.L. Suthar, Haile Habenom, Hagos Tadesse   +2 more
openaire   +1 more source

A note on boundedness properties of Wright's generalized hypergeometric functions [PDF]

Annales mathématiques Blaise Pascal, 1997
Here the authors obtain a few inequalities which give the boundedness properties for the Wright's generalized hypergeometric function which belong to the classes \(P(A,B)\) and \(R(A,B)\). Some consequences of the inequalities result into the boundedness properties for the generalized hypergeometric function \({}_pF_q(z)\) and also for the Bessel ...
Raina, R. K., Nahar, T. S.
openaire   +2 more sources

Subclass of Multivalent Harmonic Functions Defi…ned by Wright Generalized Hypergeometric Functions [PDF]

Journal of Complex Analysis, 2013
We introduce a new class of multivalent harmonic functions defi…ned by Wright generalized hypergeometric function. Coefficient estimates, extreme points, distortion bounds, and convex combination for functions belonging to this class are obtained.
Aouf, M. K., Moustafa, A. O., Adwan, E. A.   +2 more
openaire   +2 more sources

Finite Representations of the Wright Function

Fractal and Fractional
The two-parameter Wright special function is an interesting mathematical object that arises in the theory of the space and time-fractional diffusion equations.
Dimiter Prodanov
doaj   +1 more source

Integral Representations and Algebraic Decompositions of the Fox-Wright Type of Special Functions

Fractal and Fractional, 2019
The manuscript surveys the special functions of the Fox-Wright type. These functions are generalizations of the hypergeometric functions. Notable representatives of the type are the Mittag-Leffler functions and the Wright function.
Dimiter Prodanov
doaj   +1 more source

Unified Fractional Kinetic Equation and a Fractional Diffusion Equation

, 2004
In earlier papers Saxena et al. (2002, 2003) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended the work of Haubold and Mathai (2000).
Haubold, H. J., Mathai, A. M., Saxena, R. K.   +2 more
core   +2 more sources