Shyam L. Kalla

Publications135
h-index21
Citations1,634
Highly Influential Citations120
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On the solutions of certain fractional kinetic equations
TLDR
Fractional kinetic equations have gained importance during the last decade due to their occurrence in certain problems in science and engineering. Expand
  • 57
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ANALYTICAL INVESTIGATIONS OF THE SUMUDU TRANSFORM AND APPLICATIONS TO INTEGRAL PRODUCTION EQUATIONS
The Sumudu transform, whose fundamental properties are presented in this paper, is little known and not widely used. However, being the theoretical dual to the Laplace transform, the Sumudu transform… Expand
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  • 11
  • PDF
Integral operators involving hypergeometric functions
  • 38
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The Grünwald-Letnikov method for fractional differential equations
TLDR
This paper is devoted to the numerical treatment of fractional differential equations with finite difference schemes for the approximation of the solution. Expand
  • 150
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On a Generalized Elliptic-Type Integral
In this paper we study a fam r TI ly of integra Is of the form where O 6 k - and m is a nonnegative integer. Such inte- grals occur in radiation field problems. We obtain a series expansion and… Expand
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A generalized gamma distribution and its application in reliabilty
A generalization of gamma distribution is defined by slightly modifying the form of Kobayashi's generalized gamma function (1991). Its possible application in reliability theory, to study… Expand
  • 59
  • 4
An extension of some hypergeometric functions of two variables
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  • 4
Recursion relations for a class of generalized eliptic integrals
Our purpose in this note is to provide a number of recursion formulas for Rµ (vease archivo PDF), so that the numerical results can be extended to arbitrary parameter values.
  • 11
  • 4
A unified form of gamma-type distributions
TLDR
We study a mathematical model for a new distribution involving the generalized gamma function of Al-Musallam and Kalla and derive some basic functions associated with the p.d.f. Expand
  • 38
  • 3
Some results on a generalized hypergeometric function
Recently Al-Musallam and S.L. Kalla [1], [2] have developed a generalized hypergeometric function occuring in diffraction theory. We define here a new generalized hypergeometric function, using a… Expand
  • 70
  • 3