Browsing Matematik Bölümü by Author "Purohit, S. D."

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A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model

Habenom, Haile; Suthar, D. L.; Baleanu, D.; Purohit, S. D. (2021-01-01)

The aim of this paper is to develop a fractional order mathematical model for describing the spread of hepatitis B virus (HBV). We also provide a rigorous mathematical analysis of the stability of the disease-free equilibrium ...
Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions

Baleanu, Dumitru; Agarwal, Ravi P.; Purohit, S. D. (Hindawi LTD, 2013)

We apply generalized operators of fractional integration involving Appell's function F-3(.) due to Marichev-Saigo-Maeda, to the product of the generalized Bessel function of the first kind due to Baricz. The results are ...
Certain K-Fractional Calculus Operators and Image Formulas of K-Struve Function

Suthar, D. L.; Baleanu, Dumitru; Purohit, S. D.; Uçar, Faruk (American Institute of Mathematical Sciences, 2020)

In this article, the Saigo’s k-fractional order integral and derivative operators involving k-hypergeometric function in the kernel are applied to the k-Struve function; outcome are expressed in the term of k-Wright function, ...
Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators

Baleanu, Dumitru; Purohit, S. D. (Hindawi LTD, 2014)

By making use of the fractional hypergeometric operators, we establish certain new fractional integral inequalities for synchronous functions which are related to the weighted version of the Chebyshev functional. Some ...
Existence and uniqueness of miscible flow equation through porous media with a non singular fractional derivative

Agarwal, Ritu; Yadav, Mahaveer Prasad; Baleanu, Dumitru; Purohit, S. D. (2020)

In this paper, we discuss the phenomenon of miscible flow with longitudinal dispersion in porous media. This process simultaneously occur because of molecular diffusion and convection. Here, we analyze the governing ...
Generalized fractional integrals of product of two H-functions and a general class of polynomials

Baleanu, Dumitru; Kumar, Dinesh; Purohit, S. D. (Taylor&Francis Ltd, 2016)

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 are further applied in proving two ...
Generalized k-Mittag-Leffler function and its composition with pathway integral operators

Nisar, Kottakkaran Sooppy; Purohit, S. D.; Abouzaid, M. S.; Al Qurashi, Maysaa Mohamed; Baleanu, Dumitru (Int Scientific Research Publications, 2016)

Our purpose in this paper is to consider a more generalized form of the Mittag-Leffler function. For this newly defined function, we obtain certain composition formulas with pathway fractional integral operators. We also ...
On gruss type integral inequality involving the Saigo's fractional integral operators

Baleanu, Dumitru; Purohit, S. D.; Uçar, Faruk (Eudoxus Press, 2015-09)

Using Saigo's fractional integral operators, we establish a generalized version of the Gruss type integral inequality related to the bounded integrable functions, whose bounds are integrable functions. Some special cases ...

Now showing items 1-8 of 8

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Browsing Matematik Bölümü by Author "Purohit, S. D."

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