[PDF] Top 20 Certain fractional calculus formulas involving extended generalized Mathieu series
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Certain fractional calculus formulas involving extended generalized Mathieu series
... Fractional calculus is a very rapidly growing subject of mathematics which deals with the study of fractional order derivatives and ...integrals. Fractional calculus is an efficient tool ... See full document
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Expansion formulas for an extended Hurwitz Lerch zeta function obtained via fractional calculus
... expansion formulas involving a generalized Hurwitz-Lerch zeta function introduced and studied recently by Srivastava et ...some fractional calculus theorems such as the ... See full document
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Certain unified fractional integrals and derivatives for a product of Aleph function and a general class of multivariable polynomials
... unified fractional integral and derivative formulas of Saigo and Maeda type [], which are involved in a product of ℵ -function ...new formulas involving, for instance, Saigo fractional ... See full document
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Computable solution of fractional kinetic equations using Mathieu type series
... of generalized fractional kinetic equa- tions involving a variety of special functions by using Laplace and Sumudu transforma- ...for generalized fractional kinetic equations with f (t) ... See full document
13
Certain generalized fractional calculus formulas and integral transforms involving \((p,q)\) Mathieu type series
... the generalized fractional integral and differential operators ...the generalized Mathieu series ...type series and Wright hypergeometric ... See full document
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Certain Properties of Extended Wright Generalized Hypergeometric Function
... the extended Wright generalized Hypergeometric function using extended Beta ...obtain certain integral representations, Mellin transform and some derivative properties of extended ... See full document
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Some estimations on continuous random variables involving fractional calculus
... using fractional calculus is also of great importance, we refer the reader to [1, 4–6, 8, 14, 15] for further information and ...using fractional calculus, the author extended some ... See full document
10
Some Generalized Steffensen’s Inequalities via a New Identity for Local Fractional Integrals
... Abstract. In this study, we first give an identity for local fractional integrals. We then make use of this identity in order to derive several generalizations of the celebrated Steffensen’s inequality associated ... See full document
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A NOVEL SUBCLASS OF UNIVALENT FUNCTIONS INVOLVING OPERATORS OF FRACTIONAL CALCULUS
... Remark 3. By suitably specializing or modifying the parameters involved in Theorem 3, Theorem 4 and Theorem 5, it is fairly straightforward to derive the radii of close-to-convexity, starlikeness and convexity ... See full document
14
On Integral Representation of First Kind Bessel Function
... tions involving definite integrals. The most recent ones are given by Cerone & Lenard and by Pog´ any, consult [1], [5]. (We have to remark at this point that Tomovski de- duced a similar result. Namely, ... See full document
5
Some New Ostrowski Type Inequalities via Fractional Integrals
... Ostrowski Type Inequalities Via Riemann-Liouville Fractional Integrals Ostrowski Inequality. In 1938, the following celebrated inequality was established by Ostrowski [11]. Theorem 1.1. Let f : I −→ R where I is ... See full document
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Fractional Order Variational Calculus with Generalized Boundary Conditions
... of fractional variational calculus further by proving the necessary optimality conditions for more general problems of the fractional calculus of variations with a fractional integral ... See full document
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One Dimensional State Space Approach to Thermoelastic Interactions with Viscosity
... of fractional strain parameter, mechanical relaxation time and viscosity coefficients and heat source on field quantities, a numerical analysis is carried ... See full document
7
On Differential Subordinations of Multivalent Functions Involving a Certain Fractional Derivative Operator
... Choi, “On a subclass of analytic and multivalent functions associated with a certain fractional calculus operator,” Indian Journal of Pure and Applied Mathematics, vol.. Aouf, “A certain[r] ... See full document
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On impulsive nonlocal integro initial value problems involving multi order Caputo type generalized fractional derivatives and generalized fractional integrals
... Caputo-type generalized fractional differential equations equipped with nonlocal conditions involving Katugampola type generalized fractional ...Caputo-type generalized ... See full document
20
A Subclass of Uniformly Convex Functions Associated with Certain Fractional Calculus Operator
... a certain fractional calculus operator. The class has interesting subclasses like β-uniformly starlike, β- uniformly convex and β-uniformly pre-starlike func- tions. Properties like coefficient ... See full document
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Vol 6, No 11 (2015)
... 2. Fox C., The G- and H-functions as symmetrical Fourier kernel, Trans. Amar. Math. Soc. 98(1961), 395-429. 3. Mathai A M., Saxena R K and Haubold H J., The H-function, Theory and applications, Springer (2009). 4. Mittag ... See full document
6
Generalized Steffensen Inequalities for Local Fractional Integrals
... Budak, Some generalized Ostrowski type inequalities involving local fractional integrals and applications , RGMIA Res.. Budak, On generalized Hermite-Hadamard inequality for generalized [r] ... See full document
11
New Upper Bounds for Mathieu-Type Series
... following certain Tomovski’s ideas and recently discussed by Pog´any et ...alternating Mathieu series S(r) concerning ODE which solution is the e Butzer–Flocke–Hauss Omega function were studied in ... See full document
6
Some relations involving a generalized fractional derivative operator
... defined in the complex plane. In Section , we obtain two representations for this frac- tional derivative operator in terms of the classical Riemann-Liouville fractional operator. The second representation is ... See full document
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