Fractional Order Differential Equations
The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations
... the fractional order derivative definitions used in the many ...for fractional order derivative in Karcı studies [15,16] and by using this method concludes in whether converting any ...
6
ON THE NUMERICAL SOLUTION OF FRACTIONAL ORDER DIFFERENTIAL EQUATIONS USING TRANSFORMS AND QUADRATURE
... of fractional order differential equations by an integral representation in the complex ...high order accuracy using ...solving fractional differential ...solving ...
8
Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions
... of fractional calculus are ...the fractional-order Legendre ...the fractional-order Legendre wavelets operational matrix of fractional ...the fractional-order ...
24
On Type of Periodicity and Ergodicity to a Class of Fractional Order Differential Equations
... nonlinear fractional order equations used in the modeling of viscoplasticity,” in Scientific Computing in Chemical Engineering II-Computational Fluid Dynamics, Reaction Engineering and Molecular ...
25
6. Bounded Solutions for Fractional Order Differential Equations on the Half-Line
... for fractional differential equations involving Caputo fractional derivative with a nonlinear term depending on the ...differential equations, such as stability or oscillation, require global ...
10
Fractional order differential equations with iterations of linear modification of the argument
... Recently, fractional order differential equations have appeared naturally in the fields such as viscoelasticity, electrical circuits, nonlinear oscillation of earthquake, ...of fractional ...
10
NONEXISTENCE OF POSITIVE SOLUTIONS FOR A SYSTEMS OF COUPLED FRACTIONAL BVPS WITH p-LAPLACIAN
... ordinary differential equations, difference equations, dynamic equations on time scales, p-Laplacian, fractional order differential equations and boundary value ...
12
EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
... and fractional order differential equations by using different methods such as fixed point theorems in cones, the Leray-Schauder continuation theo- rem and its nonlinear alternatives and the ...
12
Numerical solution of multi-order fractional differential equations via the sinc collocation method
... multi-order fractional differential equations with initial ...algebraic equations which can be solved more easier. In this work, the fractional derivatives are described in the ...
13
Mixed order impulsive ordinary and fractional differential equations with initial conditions
... More precisely, in this paper, we study the existence and uniqueness of solutions for two new classes of instantaneous impulses of mixed-order ordinary differential equations, as well as, fractional ...
17
Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations
... the order of the derivative, Γ( · ) is the Gamma function and n = ...Caputo differential operator coincides with the differential operator of integer ...Caputo’s fractional differentiation is ...
15
Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order
... differential equations arise in many engineering and scientific disciplines as the mathematical modeling of systems and processes in various fields, such as physics, mechanics, aerodynamics, chemistry, and ...
16
7. On solutions of a system of higher-order nonlinear fractional differential equations
... nonlinear fractional differential equa- tions is studied in this article, and some sufficient conditions for existence and uniqueness of a solution for the system is established by the nonlinear alternative of ...
10
Partial neutral functional integro-differential equations of fractional order with delay
... integro-differential equations of fractional order with ...of fractional-order neutral integro-differential equations with fi- nite delay of the ...
13
Spectral solution of fractional fourth order partial integro-differential equations
... be defined on the domain D(A) = { w ∈ H 4 | w satisfies (1.2) } where H = L 2 ([0, a]) and w ∈ H 4 means that w and its derivatives up to order 4 are elements of H . The operator L is self-adjoint compact and ...
13
An existence result for n^{th}-order nonlinear fractional differential equations
... In [3], Benchohra, Henderson, Ntouyas and Ouahab used the Banach fixed point Theorem and the nonlinear alternative of Leray–Schauder principle to investigate the existence of solutions for fractional order ...
13
Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations
... Definition 2.2. A cone K is said to be normal if the norm k . k is semi- monotone increasing on K, that is, there is a constant N > 0 such that k x k ≤ N k y k for all x, y ∈ K with x ≤ y. It is known that if the cone ...
15
Global attractivity for fractional order delay partial integro differential equations
... non-integer order. The subject is as old as the differential calculus and it has been developed up to nowadays (see Kilbas et ...[2]). Fractional differential and integral equations ...
10
Numerical Solution of Fractional Control System by Haar-wavelet Operational Matrix Method
... integer order ones, which achieved actional differential equations have general- by replacing integer order derivatives by frac- tional ...of fractional derivatives for the mathematical ...
10
Interval oscillation criteria for functional differential equations of fractional order
... of fractional differential equations up to ...differential equations has been developed rapidly in the last decades, and there has been a great deal of work on the oscillatory behavior of integer ...
8