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[PDF] Top 20 ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS

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ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS

ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS

... Figure 2. (A) a-Conformable derivative, Riemann derivative and function values versus t when a = 1 and α = 0.25 for f (t) = sin(πt): a-Conformable derivative (red), Riemann derivative (blue), f (t) (green) ... See full document

8

Fractional Order Variational Calculus with Generalized Boundary Conditions

Fractional Order Variational Calculus with Generalized Boundary Conditions

... for fractional variational problems involving the right and the left fractional integrals and fractional derivatives defined in the sense of Riemman-Liouville with a Lagrangian depending on the free ... See full document

9

One Dimensional State Space Approach to Thermoelastic Interactions with Viscosity

One Dimensional State Space Approach to Thermoelastic Interactions with Viscosity

... years, fractional calculus theory has been employed successfully in theories of thermoelasticity and several models of fractional order generalized thermoelasticity are established by many ... See full document

7

Some properties of Wright type generalized hypergeometric function via fractional calculus

Some properties of Wright type generalized hypergeometric function via fractional calculus

... of fractional calculus [–] deals with the investigations of integrals and derivatives of any arbitrary real or complex order, which unify and extend the notions of integer-order derivative and n-fold ... See full document

11

Boundary fractional differential equation in a complex domain

Boundary fractional differential equation in a complex domain

... Srivastava-Owa calculus in the unit disk. The existence of subsolutions and supersolutions (maximal and minimal) is established. The existence of a unique univalent solution is imposed. Applications are ... See full document

11

Fractional Calculus for Solving generalized Abel’s Integral Equations using Chebyshev  Polynomials

Fractional Calculus for Solving generalized Abel’s Integral Equations using Chebyshev Polynomials

... In this method, we use the Chebyshev polynomials through the fractional calculus to approximate the solution of Abel.s integral equations. So, we introduce briefly orthogonal Chebyshev polynomials as a ... See full document

5

Fractional Calculus of Generalized Mittag Leffeler Function with Jacobi Polynomial

Fractional Calculus of Generalized Mittag Leffeler Function with Jacobi Polynomial

... LEFT-SIDED GENERALIZED FRACTIONAL INTEGRATION OF THE MITTAG-LEFFLER FUNCTION USING JACOBI POLYNOMIAL In this section we consider the left-sided generalized fractional integral formula of[r] ... See full document

5

GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI'S INEQUALITY

GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI'S INEQUALITY

... local fractional theory. Also, many researcher studied on generalized Ostrowski type inequalities for local fractions integrals (see, ...give generalized Pompeiu mean value theorem and some ... See full document

11

The Minkowski inequality involving generalized k fractional conformable integral

The Minkowski inequality involving generalized k fractional conformable integral

... of fractional integral operators motivate us to present the generalization of the existing fractional conformable operators and generalize the reverse Minkowski in- equality [27–31] involving ... See full document

18

Certain fractional calculus formulas involving extended generalized Mathieu series

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

30

Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space

Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space

... In this paper, we investigate some generalized results of applications of fractional integral and derivative operators to a subclass of analytic functions for operators on Hilbert space.[r] ... See full document

6

On Conformable Double Laplace Transform and One Dimensional Fractional Coupled Burgers' Equation

On Conformable Double Laplace Transform and One Dimensional Fractional Coupled Burgers' Equation

... The fractional partial differential equations play a crucial role in fields of physics, chemistry and ...The conformable double Laplace transform method was introduced by ¨ Ozkan and Kurt [3] in the study ... See full document

14

Generalizations of some fractional integral inequalities via generalized Mittag Leffler function

Generalizations of some fractional integral inequalities via generalized Mittag Leffler function

... Fractional calculus is a theory of integral and differential operators of non-integral ...of fractional calculus. The study on the fractional calculus continued with the ... See full document

10

New Results on the Conformable Fractional Sumudu Transform: Theories and Applications

New Results on the Conformable Fractional Sumudu Transform: Theories and Applications

... decades, fractional differentiation has been used applied scientists for solving several fractional differential equations and they proved that the fractional calculus is very useful in ... See full document

15

Some new inequalities for generalized fractional conformable integral operators

Some new inequalities for generalized fractional conformable integral operators

... The present paper aims to establish certain new classes of integral inequalities for a class of n (n ∈ N ) positive continuous and decreasing functions by utilizing the generalized fractional ... See full document

10

Classical Properties on Conformable Fractional Calculus

Classical Properties on Conformable Fractional Calculus

... of fractional which refers to classical calculus form called conformable fractional calculus has been ...of conformable fractional calculus is how to determine the ... See full document

5

Noninstantaneous impulsive inequalities via conformable fractional calculus

Noninstantaneous impulsive inequalities via conformable fractional calculus

... of fractional differential equations has evolved as an interesting and impor- tant field of research in view of numerous applications in physics, mechanics, chemistry, engineering (like traffic, transportation, ... See full document

14

On fractional Hahn calculus

On fractional Hahn calculus

... Malinowska and Torres [, ] studied the Hahn quantum variational calculus in . Moreover, in , Malinowska and Martins [] studied the generalized transversality conditions for the Hahn quantum ... See full document

15

Positive solutions to fractional boundary-value problems with p-Laplacian on time scales

Positive solutions to fractional boundary-value problems with p-Laplacian on time scales

... Motivated by the work mentioned above, we investigate the existence and multiplicity of positive solutions for (1.3), (1.4) on time scales. The rest of this paper is organized as follows. In Sect. 2, we recall some ... See full document

15

Chebyshev type inequalities via generalized fractional conformable integrals

Chebyshev type inequalities via generalized fractional conformable integrals

... involving generalized fractional conformable integral operator recently introduced by ...type fractional conformable integral operators as a particular result of our main ... See full document

9

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