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Certain unified integrals associated with Bessel functions
A remarkably large number of integral formulas involving a variety of special functions have been developed by many authors. Very recently, Ali gave three interesting unified integrals involving theExpand
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A Note on Fractional Integral Operator Associated with Multiindex Mittag-Leffler Functions
Recently Kiryakova and several other ones have investigated so-called multiindex Mittag-Leffler functions associated with fractional calculus. Here, in this paper, we aim at establishing a newExpand
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New concepts of fractional quantum calculus and applications to impulsive fractional q-difference equations
In this paper we define new concepts of fractional quantum calculus by defining a new q-shifting operator. After giving the basic properties we define the q-derivative and q-integral. New definitionsExpand
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CERTAIN NEW INTEGRAL FORMULAS INVOLVING THE GENERALIZED BESSEL FUNCTIONS
Abstract. A remarkably large number of integral formulas involving avariety of special functions have been developed by many authors. Alsomany integral formulas involving various Bessel functionsExpand
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New Hermite-Hadamard type integral inequalities for convex functions and their applications
TLDR
We establish (presumably new type) integral inequalities for convex functions via the Hermite–Hadamard’s inequalities and apply these inequalities to construct inequalities involving special means of real numbers. Expand
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On Analytical Solutions of the Fractional Differential Equation with Uncertainty: Application to the Basset Problem
TLDR
We apply the concept of Caputo’s H-differentiability, constructed based on the generalized Hukuhara difference, to solve the fuzzy fractional differential equation (FFDE) with uncertainty. Expand
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Swarm Intelligence and Its Applications
TLDR
Swarm intelligence (SI) is the collective behavior of decentralized, self-organized systems, natural or artificial. Expand
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Extended Riemann-Liouville fractional derivative operator and its applications
Many authors have introduced and investigated certain extended fractional derivative operators. The main object of this paper is to give an extension of the Riemann-Liouville fractional derivativeExpand
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Certain Properties of the Generalized Gauss Hypergeometric Functions
In this paper, we aim at establishing certain integral transform and fractio nal integral formulas for the generalized Gauss hypergeometric functions, which was introduced and studied by ¨ Ozergin etExpand
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Analysis of Development of Dynamic S-Box Generation
TLDR
We introduce dynamic S-Boxes in Advanced Encryption Standard (AES) to provide more confusion in the algorithm, which provides confusion to the cryptanalyst. Expand
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