[PDF] Top 20 The (k, s)-Fractional Calculus of Class of a Function
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The (k, s)-Fractional Calculus of Class of a Function
... Fractional calculus has gained appreciable fame and significance due to its numerous and boundless applications in Science; more particularly in ...of fractional calculus, one can refer to [5, ... See full document
10
The \((k,s)\) fractional calculus of k Mittag Leffler function
... substitute s = in (), () and (), then we have the results of the k-Mittag-Leffler function (see ...if s = and k = , then from the above equa- tions we get the integral and ... See full document
12
Some fractional proportional integral inequalities
... via fractional integral oper- ators are ...the k-fractional integrals ...of fractional integral inequalities by utilizing a family of n positive ...established fractional integral ... See full document
13
q-STARLIKE FUNCTIONS OF ORDER ALPHA
... a class of analytic functions, so-called q-starlike functions of order α on the open unit disc D = {z : |z| < 1} ...this class of functions and explore some inclusion properties with the well-known ... See full document
7
Autoconvolution equations and generalized Mittag-Leffler functions
... This article is devoted to study of the autoconvolution equations and generalized Mittag-Leffler func- tions. These types of equations are given in terms of the Laplace transform convolution of a function with ... See full document
7
Boundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses
... the fractional differential equation has been widely focused and studied in ...use fractional calculus theories and methods (see [2, ...with fractional differential equation involving ... See full document
18
On the k-Riemann-Liouville fractional integral and applications
... Fractional calculus is a generalization of ordinary differentiation and integration to arbitrary non- integer ...differential calculus and goes back to times when ...differential calculus. ... See full document
12
On A Class Of Univalent Functions Associated With A Fractional Calculus Operators
... we derived coefficient estimate, distortion theorem, extreme points and application to fractional calculus operator for the function belonging to this class.. Keywords: Hadamard produ[r] ... See full document
6
Fractional calculus of generalized k Mittag Leffler function and its applications to statistical distribution
... and, together with its extensions, applied in various research areas such as engineering and (in particular) statistics. The Mittag-Leffler functions and related distributions were given in []. Further, Mathai and Haubold ... See full document
17
Some Properties of Fractional Calculus and Linear Operators Associated with Certain Subclass of Multivalent Functions
... In the present paper, we investigate several distortion inequalities involving fractional calculus, Ruscheweyh derivative, and some well-known integral operators defined on the class Tδ,[r] ... See full document
16
A New Class of Analytic and Multivalent Function Associated With a Fractional Calculus Operator
... analytic in the open unit disk with negative coefficient defined with the help of Hohlov operator. Characterization property, distortion theorems and some other interesting results of this class are investigated. ... See full document
5
Siago’s $K$-Fractional Calculus Operators
... and k ∈ R + be such that Re ( α ) > 0, Re ( α + ρ ) > max [− Re ( β ) , − Re ( γ )] with condition Re ( β ) 6= Re ( γ ) , ν > 0, p, q > 0, q ≤ Re ( ν ) + ...generalized k-fractional ... See full document
11
On geometric fractional calculus
... Multiplicative calculus has a relatively restrictive area of applications than the calculus of Newton and ...multiplicative calculus resembles the importance of the polar coordinates while ... See full document
14
On fractional Hahn calculus
... quantum calculus, known as calculus without the consideration of limits, involves sets of non-differentiable ...the calculus of variations, the theory of relativity, quantum mechanics, and particle ... See full document
15
STEM Teacher Efficacy in Inverted Classrooms.
... [Participant: When I first heard about it I didn’t quite get it, then when I saw okay there could be some value in it I started it with my calculus class. The reason I did it was I thinking they were mature ... See full document
135
An application of fractional calculus on a certain class of multivalent analytic functions with negative coefficients
... [5] A. W. Goodman, Univalent functions and non-analytic curves, Proc. Amer. Math. Soc. 8(1975), 598-601. [6] A. W. Goodman, Univalent Functions, Vols. I and II, Polygonal House, Washington, New Jersey, 1983. [7] ... See full document
11
Existence Theorem for a Nonlinear Functional Integral Equation and an Initial Value Problem of Fractional Order in L1(R+)
... The class of functional integral equations of various types plays very important role in numerous mathemati- cal research areas. An interesting feature of functional integral equations is its role in the study of ... See full document
8
Particular solutions of a certain class of associated Cauchy-Euler fractional partial differential equations via fractional calculus
... Nishimoto, K: Fractional Calculus, ...Nishimoto, K: Fractional Calculus, ...Nishimoto, K: Fractional Calculus, ...Nishimoto, K: Fractional ... See full document
11
Analysis of Fractional Order Control System with Performance and Stability
... Fractional calculus is the most useful tools for the description of hereditary properties and memory of various materials and ...processes. Fractional derivatives have better flexibility as the ... See full document
9
Hardy type inequalities within fractional derivatives without singular kernel
... As is well known, the inequality (1.1) is today called to as classical Hardy’s integral inequal- ity in the literature. It has many applications in analysis and in the theory of differential equations (see, e.g., [2, 3] ... See full document
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