Stability analysis and numerical computation of the fractional predator–prey model with the harvesting rate

M Yavuz, N Sene - Fractal and Fractional, 2020 - mdpi.com
In this work, a fractional predator-prey model with the harvesting rate is considered. Besides
the existence and uniqueness of the solution to the model, local stability and global stability …

Investigation of optical solitons to the nonlinear complex Kundu–Eckhaus and Zakharov–Kuznetsov–Benjamin–Bona–Mahony equations in conformable

HM Baskonus, W Gao - Optical and Quantum Electronics, 2022 - Springer
This research manuscript focuses on the extraction of dark-bright solitons and periodic wave
distributions of two models, namely, the Zakharov–Kuznetsov–Benjamin–Bona–Mahony …

Controllability of infinite-dimensional conformable linear and semilinear systems

T Ennouari, B Abouzaid, ME Achhab - International Journal of Dynamics …, 2023 - Springer
The current paper discusses the controllability of systems governed by infinite-dimensional
linear and semilinear conformable differential equations. By stating conformable …

[HTML][HTML] The B-spline collocation method for solving conformable initial value problems of non-singular and singular types

AB Rabah, S Momani, OA Arqub - Alexandria Engineering Journal, 2022 - Elsevier
In the present study, the uniform cubic B-spline collocation method is constructed, employed,
and experimented to given smooth approximations for the numerical solution of a class of …

[HTML][HTML] Optical soliton solutions of the Ginzburg-Landau equation with conformable derivative and Kerr law nonlinearity

B Ghanbari, JF Gómez-Aguilar - Revista mexicana de física, 2019 - scielo.org.mx
By using the generalized exponential rational function method, we obtain new periodic and
hyperbolic soliton solutions for the conformable Ginzburg-Landau equation with the Kerr law …

On the wave solutions of (2+ 1)-dimensional time-fractional Zoomeron equation

H Ismael, H Bulut - Konuralp Journal of Mathematics, 2020 - dergipark.org.tr
In this manuscript, we have applied the sine-Gordon expansion method and the Bernoulli
sub-equation method to seek the traveling wave solutions of the (2+ 1)-dimensional time …

Time fractional diffusion equation with periodic boundary conditions

S Çetinkaya, A Demir - Konuralp Journal of Mathematics, 2020 - dergipark.org.tr
The aim of this research is to establish the analytic solution of time fractional diffusion
equations with periodic boundary conditions in one dimension by implementing well-known …

Asymptotic behaviour of solution and non-existence of global solution to a class of conformable time-fractional stochastic equation

E Nane, ER Nwaeze, MSE Omaba - Statistics & Probability Letters, 2020 - Elsevier
Consider the following class of conformable time-fractional stochastic equation, for any x∈
R fixed, T α, tau (x, t)= λ σ (u (x, t)) W ̇ t, t∈[a,∞), 0< α< 1, with a non-random initial …

The existence of positive solutions and a Lyapunov type inequality for boundary value problems of the fractional Caputo-Fabrizio differential equations

Ş Toprakseven - Sigma Journal of Engineering and Natural …, 2019 - dergipark.org.tr
In this paper, a Lyapunov-type inequality and the existence of the positive solutions for
boundary value problems of the nonlinear fractional Caputo-Fabrizio differential equation …

Moment bound of solution to a class of conformable time-fractional stochastic equation

MSE Omaba, ER Nwaeze - Fractal and Fractional, 2019 - mdpi.com
We study a class of conformable time-fractional stochastic equation T α, tau (x, t)= σ (u (x, t))
W˙ t, x∈ R, t∈[a, T], T<∞, 0< α< 1. The initial condition u (x, 0)= u 0 (x), x∈ R is a non …