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Conformable fractional differential equation.

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 ...partial differential equations by simplest equation ...burgers equation, this ...

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Oscillation of differential equations in the frame of nonlocal fractional derivatives generated by conformable derivatives

Oscillation of differential equations in the frame of nonlocal fractional derivatives generated by conformable derivatives

... for fractional differential and difference equations was studied by some authors (see [13–21]), thus several definitions of fractional derivatives and fractional integral operators exist in the ...of ...

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Regarding rational exponential and hyperbolic functions solutions of conformable time-fractional Phi-four equation

Regarding rational exponential and hyperbolic functions solutions of conformable time-fractional Phi-four equation

... a fractional order differential equation into an ordinary differential equa- tion using a wave transformation and the fractional derivative in conformable ...resulting ...

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Analysing the fractional heat diffusion equation solution in comparison with the new fractional derivative by decomposition method

Analysing the fractional heat diffusion equation solution in comparison with the new fractional derivative by decomposition method

... new conformable fractional derivative having satisfied the Leibniz rule for derivatives which was proved not to be so for a differential operator to be fractional among others; we in the ...

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Conformable Laplace Transform of Fractional Differential Equations

Conformable Laplace Transform of Fractional Differential Equations

... the conformable fractional derivative to discuss some fractional linear differential equations with constant ...ordinary differential equations, we establish a sufficient condition to ...

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Existence of Solutions for Boundary Value Problems of Conformable Fractional Differential Equations

Existence of Solutions for Boundary Value Problems of Conformable Fractional Differential Equations

... ble fractional differential equations under new definitions [1] [2] ...formable fractional derivatives not only have good operational properties (Four Operational Rules of Derivatives, Chain Rule and ...

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Oscillation theorems for three classes of conformable fractional differential equations

Oscillation theorems for three classes of conformable fractional differential equations

... In the paper, we study oscillation criteria of conformable fractional differential equa- tions. Our main goal is to generalize the oscillatory criteria in [28–37] to the conformable fractional ...

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Differential transform method for conformable fractional partial differential equations

Differential transform method for conformable fractional partial differential equations

... for fractional derivative in most of which integral forms have been widely ...of fractional derivative called a conformable frac- tional derivative was proposed by Khalil et ...the conformable ...

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Vol 9, No 3 (2018)

Vol 9, No 3 (2018)

... In this study, we have obtained some new oscillation results for some class of conformable fractional nonlinear homogeneous differential equations by using the equivalence transformation and ...

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Conformable fractional hyper geometric equation

Conformable fractional hyper geometric equation

... the conformable definition of fractional derivative to introduce fractional Laplace transform, and fractional Taylor ...on fractional derivative and fractional ...

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A Reliable Treatment of Iterative Laplace Transform Method for Fractional Telegraph Equations

A Reliable Treatment of Iterative Laplace Transform Method for Fractional Telegraph Equations

... Further, we apply the iterative Laplace transform method (ILTM) to solve fractional telegraph equations. It is worth mentioning that this method is an elegant coupling of the Iterative Method and Laplace ...

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ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS

ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS

... the fractional derivative at a point x is a local property only when a is an integer; in non-integer cases we cannot say that the fractional derivative at x of a function f depends only on values of f very ...

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Periodic boundary value problems for impulsive conformable fractional integro-differential equations

Periodic boundary value problems for impulsive conformable fractional integro-differential equations

... The monotone iterative technique coupled with the method of lower and upper solu- tions provides an effective way to obtain two sequences which approximate the extremal solutions between lower and upper solutions of ...

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THE MODIFIED KUDRYASHOV METHOD FOR THE CONFORMABLE TIME FRACTIONAL (3+1)- DIMENSIONAL KADOMTSEV-PETVIASHVILI AND THE MODIFIED KAWAHARA EQUATIONS

THE MODIFIED KUDRYASHOV METHOD FOR THE CONFORMABLE TIME FRACTIONAL (3+1)- DIMENSIONAL KADOMTSEV-PETVIASHVILI AND THE MODIFIED KAWAHARA EQUATIONS

... dimensional conformable time fractional Kadomtsev- Petviashvili and the conformable time fractional modified Kawahara equations are solved by implementing the Kudryashov’s ...

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New Modified Method of the Chebyshev Collocation Method for Solving Fractional Diffusion Equation

New Modified Method of the Chebyshev Collocation Method for Solving Fractional Diffusion Equation

... Fokker-Planck equation into a system of ordinary differential equations suggested in( [15], [16]) ...space fractional diffusion equations are solved numerically ...space fractional diffusion ...

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ON THE SOLUTIONS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION

ON THE SOLUTIONS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION

... fuzzy fractional differential ...fuzzy fractional differential equations, in the sense of Riemann-Liouville Hukuhara-differentiability, are constructed by using fuzzy the Laplace ...with fractional ...

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Oscillation for a Class of Fractional Differential Equation

Oscillation for a Class of Fractional Differential Equation

... class fractional differential equation with Robin and Dirichlet boundary ...the differential inequality method, oscillation criteria for a class of nonlinear fractional ...

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On the Solutions of a Linear Fractional Differential Equation

On the Solutions of a Linear Fractional Differential Equation

... reduced Fractional differential equation. The fractional derivative is considered in the Caputo sense ...the equation into an integral ...to fractional differential ...

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Solution Of Integro-Differential Equation Of The Second Order With The Operators

Solution Of Integro-Differential Equation Of The Second Order With The Operators

... In this paper, we study the existence, uniqueness and stability solution of integro-differential equations of second order with the operators by using both method Picard approximation and Banach fixed point ...

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ON FUNCTIONAL GENERALIZATION OF OSTROWSKI INEQUALITY FOR CONFORMABLE FRACTIONAL INTEGRALS

ON FUNCTIONAL GENERALIZATION OF OSTROWSKI INEQUALITY FOR CONFORMABLE FRACTIONAL INTEGRALS

... the conformable fractional version of the inequality ...the conformable fractional derivatives and ...for conformable fractional integrals and give some special cases of this ...

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