Conformable Fractional Derivative
A new definition of conformable fractional derivative on arbitrary time scales
... of conformable fractional derivative on arbitrary time scales is ...basic conformable derivative rules are ...of conformable integrations are explored. Linear first-order ...
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Oscillation results for a fractional order dynamic equation on time scales with conformable fractional derivative
... of fractional order dynamic equations on time scales, where the fractional derivative is defined in the sense of the conformable fractional ...of conformable fractional ...
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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 several ...
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Stability Analysis of Conformable Fractional Systems
... of fractional differential sys- tems in control processing [11], Deng has studied the stability of fractional differential system with multiple time delays [6] and we have investigated the stability of ...
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Positive solutions of conformable fractional differential equations with integral boundary conditions
... denotes the conformable fractional derivative of a function x(t) of order α , and f : [0, 1] × [0, ∞ ) → [0, ∞ ) is continuous. By use of the fixed point theorem in a cone, some criteria for the ...
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Conformable Laplace Transform of Fractional Differential Equations
... the conformable fractional derivative to discuss some fractional linear differential equations with constant ...coefficient fractional differential equations by the conformable ...
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Noninstantaneous impulsive inequalities via conformable fractional calculus
... so-called conformable frac- tional derivative involves a limit instead of an integral; see [13, ...the conformable fractional derivative obeys the product and quotient rules and has ...
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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 derivative and ...
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Conformable fractional semigroups of operators
... the fractional semigroups of operators associated with the conformable fractional derivative, then as an application we study the frac- tional abstract Cauchy problem according to the ...
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Conformable Fractional Order Sliding Mode Control for a Class of Fractional Order Chaotic Systems
... of fractional calculus [26-30]. In [26], fractional generalization of concept of stability was ...and fractional Lyapunov direct method were ...of fractional differential systems based on the ...
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Oscillation theorems for three classes of conformable fractional differential equations
... local fractional derivative, called the conformable fractional derivative, depending just on the basic limit definition of the ...on conformable fractional derivatives, we ...
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Neumann method for solving conformable fractional Volterra integral equations
... Abstract This paper deals with the solution of a class of Volterra integral equations in the sense of the conformable fractional derivative. For this goal, the well-organized Neumann method is ...
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ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS
... -conformable fractional derivative In this section, we give a new definition and obtain several results such as the product rule, quotient rule and chain ...the conformable fractional ...
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Analysing the fractional heat diffusion equation solution in comparison with the new fractional derivative by decomposition method
... time fractional dif- fusion models in one and two-dimensions would be studied and ...time fractional derivative order would be based on the well-known Caputo’s definition [4] and the re- cently ...
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Periodic boundary value problems for impulsive conformable fractional integro-differential equations
... This paper is concerned with the existence of solutions for periodic boundary value problems for impulsive fractional integro-differential equations using a recent novel concept of conformable ...
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ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL
... The present study was designed to make the generalization of some inequalities for conformable differential equations. For this purpose we use the Katugampola derivative formulation of conformable ...
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On The Exact Solutions to Conformable Time Fractional Equations in EW Family Using Sine-Gordon Equation Approach
... to conformable time fractional EW and modified EW equations are constructed by using Sine-Gordon expansion ...The fractional traveling wave transform and homogeneous balance have sig- nificant roles ...
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ON NEW CONFORMABLE FRACTIONAL INTEGRAL INEQUALITIES FOR PRODUCT OF DIFFERENT KINDS OF CONVEXITY
... Abstract. Certain Hermite-Hadamard type inequalities involving various fractional in- tegral operators for products of two functions have, recently, been presented. We aim to establish several Hermite-Hadamard ...
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A New Extension of Extended Caputo Fractional Derivative Operator
... the fractional derivative operator are found in many research ...Caputo fractional derivative ...tional derivative of some elementary functions derives by considering an extension of ...
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ON FUNCTIONAL GENERALIZATION OF OSTROWSKI INEQUALITY FOR CONFORMABLE FRACTIONAL INTEGRALS
... Tuba TUNC ¸ graduated from Karadeniz Technical University, Trabzon, Turkey in 2011. She received her M.Sc. from Karadeniz Tecnical University in 2013. Since 2014, she has been a Ph.D. student and worked as a Research ...
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