Papers by Jyotindra Prajapati
Fractional calculus approach to study temperature distribution within a spinning satellite
Alexandria Engineering Journal, 2016
On generalized fractional kinetic equations involving generalized Lommel-Wright functions
Alexandria Engineering Journal, 2016
Fractional Green Function Approach to Study Heat Transfer Through Diathermanous Materials
ABSTRACT In recent years, there has been a considerable growth of interest in use of Fourier tran... more ABSTRACT In recent years, there has been a considerable growth of interest in use of Fourier transform as an efficient method for solving certain types of fractional differential equations. In addition, to such applications Fourier Transforms also have a number of close connections with important part of mathematics. In this paper, authors applied fractional Green function to discuss a solution of problem regarding heating of a diathermanous materials. The solution of this problem obtained in the form of generalized Wright function.
Integral inequalities involving generalized Erdélyi-Kober fractional integral operators
Open Mathematics, 2016
Fractional derivative formulae in the form of difference operators
In this paper, authors introduced a homogeneous liner differential equation whose one of the solu... more In this paper, authors introduced a homogeneous liner differential equation whose one of the solution in the form of Generalized K -Wright function. Special cases also deduced in terms of Generalized Wright function and Generalized K-Mittag-Leffler function.
A general class of polynomials associated with generalized Mittag�Leffler function
Integral Transforms and Special Functions, 2008
... View all references, Prabhakar and Suman 2626. Prabhakar, TR and Suman, R. 1978. Some results... more ... View all references, Prabhakar and Suman 2626. Prabhakar, TR and Suman, R. 1978. Some results on the polynomials . ... Rivista de Mathematica , 8: 345–353. View all references, Srivastava and Panda 2929. Srivastava, HM and Panda, R. 1975. ...
Demonstratio Mathematica
An attempt to investigate a class of polynomials defined in form of Rodrigues type formula and Mi... more An attempt to investigate a class of polynomials defined in form of Rodrigues type formula and Mittag-Leffler function. Some generating relations and finite summation formulae are also obtained.
In present paper, authors discuss about generalized K-Write Function pΨ k q (z) with its converge... more In present paper, authors discuss about generalized K-Write Function pΨ k q (z) with its convergence condition. We obtain functional relation between generalized K-Wright function and generalized Wright function, recurrence relation, and integral representation. Some special cases have also been discussed.
Functions of Bounded Fractional Differential Variation- A New Concept
Georgian Mathematical Journal
The work carried out in this paper is an interdisciplinary study of Fractional Calculus and Mecha... more The work carried out in this paper is an interdisciplinary study of Fractional Calculus and Mechanical engineering. The aim of this paper is to introduce new model of temperature distribution and heat flux by transformed the problem into fractional partial differential equation and solved it by using fractional calculus and special functions approach.
Interaction of the electromagnetic field with helical structures is studied theoretically in plas... more Interaction of the electromagnetic field with helical structures is studied theoretically in plasma of DNA-like molecules. A model that describes the mechanism of radiation of electromagnetic waves by an arbitrary section of the right-handed double helix of DNA is proposed. The model is based on the classical theory of dipole radiation to obtain a chiral Ohm's law. It is shown that the electromagnetic wave radiated by DNA under the conditions of the main resonance is a left-hand circular polarized wave. Pitch angle and packing are studied. Graphical Abstract: Authors' information:
The authors are indebted to Dr. B. I. Dave for his kind help in LaTeX type setting.
Some applications of 2 F 1
We apply the results of Koepf-(Masjed-Jamei), on polynomial solutions for differential equations ... more We apply the results of Koepf-(Masjed-Jamei), on polynomial solutions for differential equations of hypergeometric type, to Hermite, Laguerre, Daubechies and Chebyshev equations.
Ukrainian Mathematical Journal, 2015
The main aim of the paper is to introduce an operator in the space of Lebesgue measurable real or... more The main aim of the paper is to introduce an operator in the space of Lebesgue measurable real or complex functions L(a, b). Some properties of the Riemann-Liouville fractional integrals and differential operators associated with the function E γ,δ ↵,β,λ,µ,⇢,p (cz; s, r) are studied and the integral representations are obtained. Some properties of a special case of this function are also studied by the means of fractional calculus.
The aim of present paper is to discuss some operators defined on a Lie algebra for the purpose of... more The aim of present paper is to discuss some operators defined on a Lie algebra for the purpose of deriving some properties of modified Laguerre polynomials.
Rotations in Three Dimensions
Journal of Interdisciplinary Mathematics, 2015
Advances in Pure Mathematics, 2013
In the present work, a unification of certain functions of mathematical physics is proposed and i... more In the present work, a unification of certain functions of mathematical physics is proposed and its properties are studied. The proposed function unifies Lommel function, Struve function, the Bessel-Maitland function and its generalization, Dotsenko function, generalized Mittag-Leffler function etc. The properties include absolute and uniform convergence, differential recurrence relation, integral representations in the form of Euler-Beta transform, Mellin-Barnes transform, Laplace transform and Whittaker transform. The special cases namely the generalized hypergeometric function, generalized Laguerre polynomial, Fox H-function etc. are also obtained.
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Papers by Jyotindra Prajapati