Browsing by Author "Agarwal, Ritu"

Now showing 1 - 4 of 4

Citation - WoS: 37
Existence and Uniqueness of Miscible Flow Equation Through Porous Media With a Non Singular Fractional Derivative
(Amer inst Mathematical Sciences-aims, 2020) Yadav, Mahaveer Prasad; Baleanu, Dumitru; Purohit, S. D.; Agarwal, Ritu; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
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 differential equation involving Caputo-Fabrizio fractional derivative operator having non singular kernel. Fixed point theorem has been used to prove the uniqueness and existence of the solution of governing differential equation. We apply Laplace transform and use technique of iterative method to obtain the solution. Few applications of the main result are discussed by taking different initial conditions to observe the effect on derivatives of different fractional order on the concentration of miscible fluids.
Citation - WoS: 13
Citation - Scopus: 15
A Remark on the Fractional Integral Operators and the Image Formulas of Generalized Lommel-Wright Function
(Frontiers Media Sa, 2018) Jain, Sonal; Agarwal, Ravi P.; Baleanu, Dumitru; Agarwal, Ritu; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this paper, the operators of fractional integration introduced by Marichev-Saigo-Maeda involving Appell's function F-3(center dot) are applied, and several new image formulas of generalized Lommel-Wright function are established. Also, by implementing some integral transforms on the resulting formulas, few more image formulas have been presented. We can conclude that all derived results in our work generalize numerous well-known results and are capable of yielding a number of applications in the theory of special functions. Primary: 44A20 Transforms of special functions; 65R10 For numerical methods; 26A33 Fractional derivatives and integrals; Secondary: 33C20 Generalized hypergeometric series, pFq; 33E50 Special functions in characteristic p (gamma functions, etc.); 2010 AMS classification by MathSciNet
Citation - WoS: 3
Citation - Scopus: 3
Response: Commentary: a Remark on the Fractional Integral Operators and the Image Formulas of Generalized Lommel-Wright Function
(Frontiers Media Sa, 2020) Jain, Sonal; Agarwal, Ravi P.; Baleanu, Dumitru; Agarwal, Ritu; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
Citation - WoS: 11
Citation - Scopus: 10
Solution of Maxwell's Wave Equations in Bicomplex Space
(Editura Acad Romane, 2017) Agarwal, Ritu; Baleanu, Dumitru; Goswami, Mahesh Puri; Agarwal, Ravi P.; Venkataratnam, Kamma Kesa; Baleanu, Dumitru; 56389; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The concept of bicomplex numbers is introduced in Electromagnetics, with direct applications to the solution of Maxwell's equations. In this paper, we discuss the technique to find the analytic solution of the electromagnetic wave equation in vacuum with the help of bicomplex analysis as tool. Also, we find the solution of Gaussian pulse wave using bicomplex vector field.