Fractional order differential equation
Iterative algorithm and estimation of solution for a fractional order differential equation
... p-Laplacian equation to describe turbulent flows in a porous ...differential equation involving p-Laplacian under various boundary conditions, here we refer the reader to the work of Li et ...
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SOLUTIONS FOR A FRACTIONAL-ORDER DIFFERENTIAL EQUATION WITH BOUNDARY CONDITIONS OF THIRD ORDER
... u(0) = u ′ (0) = u ′′ (1) = 0, u ′′′ (1) = g(u(1)), (1) where, f is a continuous function of [0, 1] × R into R , g is a function of R into itself, and D α 0+ denotes the Riemann-Liouville fractional derivative of ...
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On the existence of nonnegative solutions for a class of fractional boundary value problems
... Abstract. In this paper, sufficient conditions for the existence of nonnegative solutions of a boundary value problem for a fractional order differential equation are provided. By applying ...
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Vol 2019
... nonlinear differential equation system such as Lorenz system of fractional ...the fractional order differential equation spread at a faster rate than the classical ...
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New uniqueness results for fractional differential equation with dependence on the first order derivative
... where 1 < α ≤ 2 and f ∈ C([0, 1] × [0, +∞), [0, +∞)). The authors obtained the existence and multiplicity of positive solutions by means of the Krasnosel’skii fixed point theorem and the Leggett–Williams fixed point ...
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Numerical solution of fractional order Riccati differential equation by differential quadrature method based on Chebyshev polynomials
... a fractional-order Riccati differential ...The fractional derivative is described in the Caputo ...of fractional derivatives to reduce a Riccati differential equation to a system of ...
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Mild solutions for semi-linear fractional order functional stochastic differential equations with impulse effect
... stochastic differential equation with a nonlocal initial condition strengthens the model even ...stochastic differential equation arising in various fields such as electromagnetic theory, ...
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Existence results for higher order fractional differential equation with multi-point boundary condition
... the fractional differential equations due to its wide application in physics, engineering, economics, aerodynamics, and polymer rheology ...on fractional calculus, fractional ...
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Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition
... they lead to more precise measures than those proposed by a local condition; then, it is greatly important to obtain specific solutions when a solution exists. For this reason, the aim of this paper is to study the ...
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Jacobi Elliptic Function Solutions For Fractional Partial Differential Equations
... partial differential equations in fractional case, and proposed a new fractional Riccati sub-equation method, where the sub-equation used is the fractional Riccati ...
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NONLOCAL PROBLEM FOR A MIXED TYPE FOURTH-ORDER DIFFERENTIAL EQUATION WITH HILFER FRACTIONAL OPERATOR
... fourth-order differential equation of mixed type with Hilfer operator of fractional integro-differentiation in a positive rectangular domain and with spectral parameter in a negative ...
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Solving a Nonlinear Multi Order Fractional Differential Equation Using Legendre Pseudo Spectral Method
... tional differential equations. The fractional derivatives are described in the Caputo ...of fractional derivative using Legendre poly- nomials and implementing it to solve the nonlinear multi- ...
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Existence and Uniqueness of Solution for a Fractional Order Integro Differential Equation with Non Local and Global Boundary Conditions
... a fractional order Fredholm – Volterra integro-differential equation with non-local and global boundary conditions by converting it to the corresponding well known Fredholm integral ...
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Existence results for nonlinear fractional differential equation with nonlocal integral boundary conditions
... the fractional boundary value problem using Krasnoselskii’s fixed point theorem and the Leggett-William’s fixed point ...the fractional boundary value problem and provide sufficient conditions for the ...
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New Modified Method of the Chebyshev Collocation Method for Solving Fractional Diffusion Equation
... solve fractional differential equations have been given such as variational iteration method [7], homotopy perturbation method [8], adomian decomposition method [9], homotopy analysis method [10], and ...
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ON THE SOLUTIONS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION
... of fractional fuzzy differential equations, with fractional derivative of order 0 < β ≤ 1, are constructed, by using fuzzy Laplace ...in order to represent the solution of the considered ...
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Oscillation for a Class of Fractional Differential Equation
... of differential equa- tions has been developed rapidly in the last decades, and there has been a great deal of works on the oscillatory behavior of integer order differential equations [1] [2] ...of ...
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Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
... Fig. 3 shows the numerical results of problem (6.4) for N = 5, c = 0 with α = ν = 0.5, 0.75, 0.85, 0.95, 1 and the exact solution. We see that the approximate solutions are in good agreement with the exact solution, when ...
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DGJ Method for Linear and Nonlinear Third order Fractional Differential Equation
... third order fractional differential ...third order non- linear fractional partial differential ...nonlinear fractional partial dif- ferential equation depend on ...
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Fractional order Riccati differential equation: Analytical approximation and numerical results
... In recent years, it has turned out that many phenomena in biology, chemistry, acoustics, control theory, psychology and other areas of science can be fruitfully modeled by the use of fractional-order ...
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