[PDF] Top 20 Coupled implicit Caputo fractional q difference systems
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Coupled implicit Caputo fractional q difference systems
... This paper deals with some existence, uniqueness, and Ulam stability results for a coupled implicit Caputo fractional q-difference system in Banach and generalized Banach spaces. Some ... See full document
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Positive solutions for singular coupled integral boundary value problems of nonlinear higher order fractional q difference equations
... a coupled system of non- linear fractional differential equations have been addressed by several ...nonlinear fractional differential equations, we refer the readers to [–] and references ...for ... See full document
22
An efficient parallel algorithm for Caputo fractional reaction diffusion equation with implicit finite difference method
... time fractional reaction-diffusion equa- tion using the implicit finite-difference ...tridiagonal systems and applied on more ...time fractional reaction-diffusion equation on heterogeneous ... See full document
12
Boundedness and Lagrange stability of fractional order perturbed system related to unperturbed systems with initial time difference in Caputo's sense
... < q < 1, and p + q = 1 where Γ denotes the Gamma ...function. Fractional derivatives and integrals play an important role in the development of the- ory of fractional dynamic ... See full document
14
A coupled system of fractional q integro difference equations with nonlocal fractional q integral boundary conditions
... for coupled and uncoupled systems of fractional q-integro-difference equations with nonlocal fractional q-integral boundary ... See full document
21
Monotone iterative technique for a nonlinear fractional q difference equation of Caputo type
... solutions coupled with the monotone iterative technique to fractional q-difference ...the Caputo q-fractional derivative, which plays a crucial role in this ...a fractional ... See full document
11
Positive solutions of nonlinear boundary value problems for delayed fractional q difference systems
... decades, fractional differential equations have been proved to be valuable tools in the investigation of many phenomena in various fields of science and engineering such as physics, mechanics, chemistry, biology, ... See full document
16
Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologies
... new fractional derivative (4) may be viewed as interpolation of the Hadamard and Caputo–Hadamard fractional ...Hadamard fractional derivative, and, for β = 1, we recover the ... See full document
17
Existence and Ulam stability for implicit fractional q difference equations
... of fractional calculus and fractional differential equations we refer the reader to the monographs [4–6, 23, 32, 39], the papers [24, 34, 36–38, 40] and the references ...for fractional differential ... See full document
12
Ulam stability of Caputo q fractional delay difference equation: q fractional Gronwall inequality approach
... delay fractional differential equations with a generalized Caputo derivative using a Gronwall inequality approach ...with Caputo–Fabrizio fractional derivative with the help of Gronwall’s ... See full document
13
A generalized q fractional Gronwall inequality and its applications to nonlinear delay q fractional difference systems
... discrete q-fractional version of the Gronwall ...the q-Mittag-Leffler function is ...delay Caputo q-fractional difference ... See full document
13
Fractional order differential systems involving right Caputo and left Riemann–Liouville fractional derivatives with nonlocal coupled conditions
... D q 0+ denote the left Riemann–Liouville fractional derivative of order β, q ∈ (0, 1] re- spectively, f , g : J × R× R → R are given functions and γ , δ ∈ R are appropriate ... See full document
12
Variational method to a fractional impulsive \((p,q)\) Laplacian coupled systems with partial sub \((p,q)\) linear growth
... the fractional impulsive differential equation with the right Riemann–Liouville fractional derivative and left Caputo fractional deriva- ... See full document
14
Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions
... a coupled sequential fractional system with integral boundary condi- ...impulsive fractional system, a neutral time-delay system/inclusion, and a time-delay system/inclusion with finite ... See full document
15
New Modified Method of the Chebyshev Collocation Method for Solving Fractional Diffusion Equation
... space fractional differential equations. The fractional derivative is considered in the Caputo ...finite difference scheme and Chebyshev collocation method are ... See full document
20
A Cauchy Problem for Some Fractional q Difference Equations with Nonlocal Conditions
... In this paper, we discussed the problem of nonlocal value for nonlinear fractional q-difference equation. The classical tools of fixed point theorems such as Krasnoselskii’s theorem and Banach’s ... See full document
7
Initial time difference quasilinearization for Caputo Fractional Differential Equations
... The purpose of this section is to employ the quasilinearization technique for nonlinear Caputo’s fractional order differential equation (1.1) by choosing lower and upper solutions with initial time ... See full document
9
Positive solutions for a class of fractional difference systems with coupled boundary conditions
... nonlinear fractional differential equa- tions can be found in the literature, we refer the reader to [3–27] and the references cited ...singular fractional p-Laplacian boundary value sys- ... See full document
22
On the oscillation of q fractional difference equations
... for q-fractional difference equations was ...Riemann q-fractional difference equa- tions of the form () were given in three theorems in Section ...in fractional calculus was combined to ... See full document
11
Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional order differential equations
... In the beginning, this concept was applied to ordinary differential equations and then ex- tended to FODEs. We refer the readers to [39–44]. Very recently, Ali et al. [45], studied the Ulam-type stability for ... See full document
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