Operators of fractional integration and their applications

HM Srivastava, RK Saxena - Applied Mathematics and computation, 2001 - Elsevier
The main purpose of this paper is to present a systematic (and historical) account of the
investigations carried out by various authors in the field of fractional calculus and its …

[PDF][PDF] Some fractional calculus findings associated with the product of incomplete ℵ-function and Srivastava polynomials

S Bhatter, SD Purohit, KS Nisar… - International Journal of …, 2024 - sciendo.com
The generalized fractional calculus operators introduced by Saigo and Maeda in 1996 will
be examined and further explored in this paper. By combining an incomplete ℵ-function with …

Unified framework for the effective rate analysis of wireless communication systems over MISO fading channels

M You, H Sun, J Jiang, J Zhang - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
This paper proposes a unified framework for the effective rate analysis over arbitrary
correlated and not necessarily identical multiple-input single-output (MISO) fading channels …

Generalized fractional integrals of product of two H-functions and a general class of polynomials

D Baleanu, D Kumar, SD Purohit - International Journal of …, 2016 - Taylor & Francis
The purpose of this paper is to compute two unified fractional integrals involving the product
of two H-functions, a general class of polynomials and Appell function F 3. These integrals …

[PDF][PDF] Generalized fractional integrals involving product of multivariable H-function and a general class of polynomials

D Kumar, SD Purohit, J Choi - J. Nonlinear Sci. Appl, 2016 - kurims.kyoto-u.ac.jp
A large number of fractional integral formulas involving certain special functions and
polynomials have been presented. Here, in this paper, we aim at establishing two fractional …

An Introductory Overview of Special Functions and Their Associated Operators of Fractional Calculus

HM Srivastava - Special Functions in Fractional Calculus and …, 2023 - taylorfrancis.com
The origin of special functions, known also as mathematical functions and higher
transcendental functions, can be traced back to several widespread areas such as …

Certain unified integrals associated with product of the general class of polynomials and incomplete I-functions

R Sharma, J Singh, D Kumar, Y Singh - International Journal of Applied …, 2022 - Springer
Here, In this work, we derive some novel integrals coupled with incomplete I-functions and
the general class of polynomials and that results are demonstrate in various forms of …

Further results on fractional calculus of Saigo operators

P Agarwal - Applications and Applied Mathematics: An …, 2012 - digitalcommons.pvamu.edu
A significantly large number of earlier works on the subject of fractional calculus give
interesting account of the theory and applications of fractional calculus operators in many …

[PDF][PDF] The unified pathway fractional integral formulae

P Agarwal, SD Purohit - J. Fract. Calc. Appl, 2013 - jfca.journals.ekb.eg
The aim of the present paper is to study unified pathway fractional integral formulae, whose
model was introduced by Mathai [11]. Here, first we obtain pathway fractional integral …

Boros Integral Involving the Product of Family of Polynomials and the Incomplete I-Function.

S Bhatter, DL Suthar, SD Purohit - Journal of Computational …, 2023 - search.ebscohost.com
The current manuscript's goal is to determine the Boros integral with three parameters,
which comprises of the multiplication of the incomplete I-function and a family of …