Results 61 to 70 of about 1,372 (141)

The General Solution of Singular Fractional-Order Linear Time-Invariant Continuous Systems with Regular Pencils

Entropy, 2018
This paper introduces a general solution of singular fractional-order linear-time invariant (FoLTI) continuous systems using the Adomian Decomposition Method (ADM) based on the Caputo's definition of the fractional-order derivative.
Iqbal M. Batiha, Reyad El-Khazali, Ahmed AlSaedi, Shaher Momani   +3 more
doaj   +1 more source

Finite-Time Stability of Fractional-Order Time-Varying Delays Gene Regulatory Networks with Structured Uncertainties and Controllers

Complexity, 2020
In this paper, we investigate a class of fractional-order time-varying delays gene regulatory networks with structured uncertainties and controllers (DFGRNs).
Zhaohua Wu, Zhiming Wang, Tiejun Zhou
doaj   +1 more source

Mathematical analysis of fractional-order Caputo's derivative of coronavirus disease model via Laplace Adomian decomposition method. [PDF]

Beni Suef Univ J Basic Appl Sci, 2022
Yunus AO, Olayiwola MO, Adedokun KA, Adedeji JA, Alaje IA.   +4 more
europepmc   +1 more source

Finite element method for time-space-fractional Schrodinger equation

Electronic Journal of Differential Equations, 2017
In this article, we develop a fully discrete finite element method for the nonlinear Schrodinger equation (NLS) with time- and space-fractional derivatives.
Xiaogang Zhu, Zhanbin Yuan, Jungang Wang, Yufeng Nie, Zongze Yang   +4 more
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Existence results in Banach space for a nonlinear impulsive system

Advances in Difference Equations, 2019
We deal with three important aspects of a generalized impulsive fractional order differential equation (DE) involving a nonlinear p-Laplacian operator: the existence of a solution, the uniqueness and the Hyers–Ulam stability.
Hasib Khan, Aziz Khan, Thabet Abdeljawad, Abdulwasea Alkhazzan   +3 more
doaj   +1 more source

Analysis of the non-linear higher dimensional fractional differential equations arising in dusty plasma using the Atangana–Baleanu fractional derivative

Results in Engineering
In the present work, a relatively new derivative namely the Atangana–Baleanu fractional derivative is extended to derive an approximate solution to the non-linear higher dimensional fractional differential equations such as the Fractional perturbed ...
Attiya Nazneen, Rashid Nawaz, Laiq Zada, Nasir Ali, Mohamed Benghanem, Hijaz Ahmad   +5 more
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Numerical investigation of fractional Fisher partial differential equation via natural transform decomposition method

Partial Differential Equations in Applied Mathematics
In modern Science, a Fisher non-linear differential equation plays a significant role due to its diverse applications in fisher hypothesis, mathematical biology, engineering, physics and ecology. In this regard, the authors utilized the Natural transform
Samia Bushnaq, Amjad Ali, Abdullah
doaj   +1 more source

Computational study of fractional partial differential equations using the second-kind Chebyshev collocation technique with error analysis

Boundary Value Problems
This paper presents and establishes the Chebyshev collocation method, which generates numerical solutions for nonlinear fractional partial differential equations such as the fractional diffusion, wave, and Korteweg–De Vries equations. To obtain the novel
Khaled M. Abdelgaber, Mohamed Fathy, Aya Hassan, Emad A. Sayed   +3 more
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THE ECONOMIC RECORD VERSUS AER: TWENTY SIX YEARS AHEAD ON THE MONEY-GOODS MODEL [PDF]

We prove that the symmetric and negative semidefinite modified Slutsky matrix derived by Samuelson and Sato (1984) for the money-goods model of the consumer, is identical to that derived by Pearce (1958) a quarter century before and restated sixteen ...
Caputo, Michael R., Paris, Quirino
core   +1 more source

Positive solutions for boundary-value problems of nonlinear fractional differential equations

Electronic Journal of Differential Equations, 2006
In this paper, we consider the existence and multiplicity of positive solutions for the nonlinear fractional differential equation boundary-value problem $$displaylines{ mathbf{D}_{0+}^alpha u(t)=f(t,u(t)),quad ...
Shuqin Zhang
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