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[PDF] Top 20 A New Generalized Derivative and Applications

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A New Generalized Derivative and Applications

A New Generalized Derivative and Applications

... a new generalized derivative approximated by subdifferentials of local convexifications of nonconvex functions, which overcomes "too large" Clarke ... See full document

9

Some new generalized retarded inequalities for discontinuous functions and their applications

Some new generalized retarded inequalities for discontinuous functions and their applications

... establish new inequalities of the above type, which can be used more effectively in the study of certain classes of retarded nonlinear differential and integral ...lowing new integral inequalities are ... See full document

14

On generalized Hermite-Hadamard inequality for generalized convex function

On generalized Hermite-Hadamard inequality for generalized convex function

... In this paper, a new inequality for generalized convex functions which is related to the left side of generalized Hermite-Hadamard type inequality is obtained.. Some applications for som[r] ... See full document

14

Generalization of Certain Subclasses of Multivalent Functions with Negative Coefficients Defined by Cho Kwon Srivastava Operator

Generalization of Certain Subclasses of Multivalent Functions with Negative Coefficients Defined by Cho Kwon Srivastava Operator

... Fractional Derivative Operator and Its Applications to a New Class of Analytic and Multivalent Functions with Negative Co- ...and Applications, ... See full document

11

On Generalized k-Fractional Derivative Operator

On Generalized k-Fractional Derivative Operator

... Abstract. The main objective of this paper is to introduce k-fractional derivative op- erator by using the definition of k-beta function. We establish some results related to the newly defined fractional operator ... See full document

9

A Gronwall inequality via the generalized proportional fractional derivative with applications

A Gronwall inequality via the generalized proportional fractional derivative with applications

... a new version for the Gronwall inequality in the frame of the generalized proportional fractional ...the generalized proportional fractional derivative and expose some of its ...defined ... See full document

12

A new generalized Weibull family of distributions: mathematical properties and applications

A new generalized Weibull family of distributions: mathematical properties and applications

... a new generalized Weibull family of distribu- tions with two extra positive ...The new models provide consistently better fits than other competitive models for these ... See full document

25

New inequalities for generalized m-convex functions via generalized fractional integral operators and their applications

New inequalities for generalized m-convex functions via generalized fractional integral operators and their applications

... via generalized integral ...the new so–called generalized m-convex function, some generalized trapezium, Ostrowski and Simpson type integral inequalities have been ...Some applications ... See full document

25

A New Approach for Fractional Order Derivative and Its Applications

A New Approach for Fractional Order Derivative and Its Applications

... It can be seen from definition, the ratio of the change in dependent variable over to the change in independent variable is always 1 (one) for identity function. In this case, the derivative must be 1 in any FOD ... See full document

8

Some New Delay Integral Inequalities Based on Modified Riemann Liouville Fractional Derivative and Their Applications

Some New Delay Integral Inequalities Based on Modified Riemann Liouville Fractional Derivative and Their Applications

... By using the properties of modified Riemann-Liouville fractional derivative, some new delay in- tegral inequalities have been studied. First, we offered explicit bounds for the unknown functions, then we ... See full document

13

Two Schur-convex functions related to the generalized integral quasiarithmetic means

Two Schur-convex functions related to the generalized integral quasiarithmetic means

... The Schur-convexity of two functions which related to the generalized integral quasiarithmetic means are researched, and two new inequalities are established.. As applications, some refi[r] ... See full document

12

New generalized Hermite Hadamard type inequalities and applications to special means

New generalized Hermite Hadamard type inequalities and applications to special means

... In this paper, Hermite-Hadamard type inequalities involving Hadamard fractional integrals for the functions satisfying monotonicity, convexity and s-e-condition are studied. Three classes of left-type Hadamard fractional ... See full document

15

Probabilistic solutions to nonlinear fractional differential equations of generalized Caputo and Riemann–Liouville type

Probabilistic solutions to nonlinear fractional differential equations of generalized Caputo and Riemann–Liouville type

... potential applications, e.g., by providing new numerical approaches to obtain approximating solutions to a variety of equations arising in fractional ... See full document

30

Some New Bounds for the Čebyšev Functional in Terms of the First Derivative and Applications

Some New Bounds for the Čebyšev Functional in Terms of the First Derivative and Applications

... Some new inequalities for the ˇ Cebyˇ sev functional in terms of the first derivative and applications for Taylor’s expansion and generalised trape- zoid formula are pointed out.. Cebyˇ [r] ... See full document

11

A New Definition for Generalized First Derivative of Nonsmooth Functions

A New Definition for Generalized First Derivative of Nonsmooth Functions

... The generalized derivative has played an increasingly important role in several areas of application, notably in optimization, calculus of variations, differential equa- tions, Mechanics, and control theory ... See full document

6

Certain New Classes Containing Combination of Ruscheweyh Derivative and a New Generalized Multiplier Differential Operator

Certain New Classes Containing Combination of Ruscheweyh Derivative and a New Generalized Multiplier Differential Operator

... by new multiplier transformations, Proceedings book of the an international symposium on geometric function theory and applications, August, 20-24, 2007, TC Istanbul Kultur ... See full document

9

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

A new discrete economic model involving generalized fractal derivative

A new discrete economic model involving generalized fractal derivative

... fractal derivative is introduced and a generalized form of fractal derivative is applied to a con- structed discrete macroeconomic model to describe the actual data of the given ...fractal ... See full document

11

Ruscheweyh Derivative and a New Generalized Multiplier Differential Operator

Ruscheweyh Derivative and a New Generalized Multiplier Differential Operator

... by new multiplier transformations, Proceedings book of the an international symposium on geometric function theory and applications, August, 20-24, 2007, TC Istanbul Kultur ... See full document

10

Some relations involving a generalized fractional derivative operator

Some relations involving a generalized fractional derivative operator

... tional derivative operator in terms of the classical Riemann-Liouville fractional ...a new transformation formula for the fractional derivative recently published by Tremblay et ...a ... See full document

9

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