[PDF] Top 20 Representation of solution for a linear fractional delay differential equation of Hadamard type
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Representation of solution for a linear fractional delay differential equation of Hadamard type
... decades, fractional differential equations have been applied in engineering, physics, finance, and signal ...of fractional linear and non-linear differential equations of Caputo type, ... See full document
7
The general solution of differential equations with Caputo Hadamard fractional derivatives and impulsive effect
... the fractional calculus within the frame of the Hadamard fractional ...the solution of sequential fractional differential equations with Hadamard derivative by using the ... See full document
16
A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations
... The fractional derivative in the Caputo ...of fractional order γ > 0, and not necessarily equivalent to each other,(see, ...Caputo fractional derivative allows the utilization of initial and ... See full document
12
Existence and Ulam stability for fractional differential equations of Hilfer Hadamard type
... for fractional differential equations with Hilfer fractional derivative; see ...Hilfer fractional derivative (which interpolates the Riemann-Liouville derivative and the Caputo derivative), Qassim et ... See full document
14
PARTICULAR SOLUTION OF LINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH CONSTANT COEFFICIENTS BY INVERSE OPERATORS
... Fractional differential equations ( FDEs) occur in numerous complex systems in life science, such as rheology, viscoelasticity, porous media, electrochemistry, electromagnetism, dynamics of earthquakes, ... See full document
16
Local Solution of Delay Fractional Differential Equations
... Leray-Schauder type, Benchohra et ...order fractional equations with in finite delay and Riemman-Liouville fractional ...operator type neutral equations in the same ...of ... See full document
6
Probabilistic solutions to nonlinear fractional differential equations of generalized Caputo and Riemann–Liouville type
... Liouville type fractional ...the linear equation with non constant coefficients and the generalized composite frac- tional relaxation ...the solution to the generalized linear ... See full document
30
VARIATION FORMULAS OF SOLUTION FOR A CONTROLLED FUNCTIONAL-DIFFERENTIAL EQUATION CONSIDERING DELAY PERTURBATION
... Linear representation of the main part of the increment of a solution of an equation with respect to perturbations is called the variation formula of solution (variation ...approximate ... See full document
11
Numerical Solution of Fractional Order Delay Differential Equation using Shifted Chebyshev Polynomials of Second Kind
... the Delay Differential Equation of fractional ...the fractional derivative in Caputo’s ...reduce Delay Fractional Differential Equation (DFDE) to a ... See full document
10
Nonlinear Hadamard fractional differential equations with Hadamard type nonlocal non conserved conditions
... In this paper, we discuss the existence and uniqueness of solutions for a boundary value problem of nonlinear Hadamard fractional differential equations and nonlocal non-conserved boundary conditions in ... See full document
13
Integral inequalities with ‘maxima’ and their applications to Hadamard type fractional differential equations
... [–]. Fractional inequalities are important in studying the existence, uniqueness, and other properties of fractional dif- ferential ...on fractional calculus using Riemann-Liouville and Caputo ... See full document
15
Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type
... of linear fractional differential equa- tion (fDE) with constant coefficients, in terms of distri- bution ...integral equation with the aid of Neumann ... See full document
9
Variational iteration method for solving nth-order fuzzy integro-differential equations
... In this paper, the variational iteration method for solving nth-order fuzzy integro-differential equations (nth-FIDE) is proposed. In fact the problem is changed to the system of ordinary fuzzy integro- ... See full document
8
New conformable fractional integral inequalities of Hermite-Hadamard type for convex functions
... conformable fractional derivative with its important properties which are useful in order to obtain our main results (see ...conformable fractional derivative of h of order α of h at ζ is defined ... See full document
12
Periodic solution for a delay integro-differential equation in biomathematics
... this equation are given in the case of a periodic contact rate: f (t + ω, x) = f (t, x) , ∀t ∈ R ...the solution in ...continuous solution of the following initial value ... See full document
7
Maximal and minimal solution of nonlocal fractional differential equation
... nonlinear fractional differential equation with weighted initial and nonlocal condition and prove the existence and approximation of the ...nonlinear fractional differential ... See full document
22
Research on generalized space time fractional convection diffusion equation
... of fractional differential equation, the paper extends the space-time fractional convection-diffusion ...order fractional derivative instead of the space first derivative in the ... See full document
5
Existence of Periodic Solution for a Nonlinear Fractional Differential Equation
... the solution of nonlinear fractional order differential equations used in the modeling of viscoplasticity,” in Scientifice Computing in Chemical Engineering II-Computational Fluid Dynamics, Reaction ... See full document
18
A Reliable Treatment of Iterative Laplace Transform Method for Fractional Telegraph Equations
... space-time fractional telegraph Eq. (19) reduces to space fractional telegraph equation and the solution is same as obtained by Momani [27] using ADM, Odibat and Momani [37] using GDTM, ... See full document
9
Functional differential equations with infinite delay in Banach spaces
... differential equation with infinite delay in a Banach space and the exponential stability of the solution semigroup of the corresponding linear equation, and found that the exponential s[r] ... See full document
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