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Fractional differential

Wavelets operational methods for fractional differential equations and systems of fractional differential equations

Wavelets operational methods for fractional differential equations and systems of fractional differential equations

... of fractional differential equations has received less attention in this regard, despite the fact that most of the real world processes modeled using fractional calculus results in systems of ...

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Impulsive initial value problems for a class of implicit fractional differential equations

Impulsive initial value problems for a class of implicit fractional differential equations

... of fractional calculus has received remarkable consideration from the researchers of widespread fields of science and engineering due its applicability of de- scribing the hereditary and memory effect of numerous ...

14

Monotone Iterative Technique for Caputo Fractional Differential Equations with Deviating Arguments

Monotone Iterative Technique for Caputo Fractional Differential Equations with Deviating Arguments

... for fractional differential equation involving the Caputo fractional derivative with deviating ...Keywords: Fractional differential equation with deviating argument, Caputo ...

11

Ulam Stability for System of Nonlinear Implicit Fractional Differential Equations

Ulam Stability for System of Nonlinear Implicit Fractional Differential Equations

... implicit fractional differential equations for some ∈ ( − 1, ] , ∈ ℕ, where : × ℝ × ℝ → ℝ be a nonlinear continuous function, : → ℝ and is the Caputo-Hadamard derivative of order ...

10

Oscillation for a Class of Fractional Differential Equation

Oscillation for a Class of Fractional Differential Equation

... DOI: 10.4236/jamp.2019.77096 1439 Journal of Applied Mathematics and Physics [9] Qi, C. and Huang, S. (2013) Interval Oscillation Criteria for a Class of Fractional Differential Equations with Damping Term. ...

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Differential inequalities for a finite system of hybrid Caputo fractional differential equations

Differential inequalities for a finite system of hybrid Caputo fractional differential equations

... basic fractional differential inequalities for a finite system of an initial value problem of hybrid fractional differential equations involving derivatives are proved with a linear ...

8

Euler’s Method for Fractional Differential Equations

Euler’s Method for Fractional Differential Equations

... This paper presents a numerical method for solving fractional differential equations in the Riemann -Liouville sense. The approach is based on the Euler’s method. The main characteristic behind the approach ...

19

Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type

Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type

... Laplace’s differential equation by using operational calculus in the framework of distribution ...that differential equation with an inhomogeneous term, and also a fractional differential ...

11

Applications of Fractional Differential Transform Method to Fractional Differential-Algebraic Equations

Applications of Fractional Differential Transform Method to Fractional Differential-Algebraic Equations

... implement fractional differential transform method (FDTM), which is a semi analytical numerical technique, to fractional differential-algebraic equations ...between fractional ...

13

Algebraic Equations of Fractional Order Using Fractional Differential Transform Method

Algebraic Equations of Fractional Order Using Fractional Differential Transform Method

... the fractional order definitions of derivatives and integration are ...considered. Fractional differential transform method and some of its related theorems are given in section four our approach is ...

10

Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations

Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations

... of fractional type of flatlet biorthogonal multiwavelet system is investigated in this ...the fractional differential and integro-differential ...

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Oscillation criteria of fractional differential equations

Oscillation criteria of fractional differential equations

... where D α − y is the Liouville right-sided fractional derivative of order a Î (0,1) of y and h > 0 is a quotient of odd positive integers. We establish some oscillation criteria for the equation by using a ...

10

Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions

Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions

... We study the existence of solutions for a class of nonlinear Caputo-type fractional boundary value problems with nonlocal fractional integro-differential boundary conditions. We apply some fixed point ...

10

On the oscillation of Hadamard fractional differential equations

On the oscillation of Hadamard fractional differential equations

... Hadamard fractional derivatives are nonlocal fractional derivatives with singular logarithmic kernel with memory, and hence they are suitable to describe complex ...solutions fractional differential ...

13

Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Fractional Differential Transform Method

Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Fractional Differential Transform Method

... Piston-Ring Assembly (a) Equivalent Stresses (von-misses) (b) Result Maximum shear stress (c) frictional Stress Acting on Bronze Piston Ring (d) Sliding distance occur during the operat[r] ...

9

Note on weakly fractional differential equations

Note on weakly fractional differential equations

... On the one hand, several properties of ordinary or partial differential equations (DEs) appear in FDEs as well, like asymptotic properties of solutions or equilibria. On the other hand, unlike to DEs, FDEs have no ...

11

Fractional complex transforms for fractional differential equations

Fractional complex transforms for fractional differential equations

... The fractional complex transform is employed to convert fractional differential equations analytically in the sense of the Srivastava-Owa fractional operator and its generalization in the unit ...

12

Fractional differential equations with causal operators

Fractional differential equations with causal operators

... –]. Fractional calculus is a generalization of ordinary dif- ferentiation and integration to arbitrary non-integer ...of fractional calculus has been a subject of interest not only among mathematicians, ...

11

Impulsive Hilfer fractional differential equations

Impulsive Hilfer fractional differential equations

... Hilfer fractional differential equations are ...impulsive fractional differential equations are established, where the time fractional derivative is the Hilfer ...Hilfer fractional delay partial ...

20

Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation

Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation

... solving fractional differential equa- tions, fractional integro-differential equations, fractional partial differential equations and dynamic systems containing fractional ...

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