On the stability and numerical scheme of fractional differential equations with application to biology
K Hattaf - Computation, 2022 - mdpi.com
The fractional differential equations involving different types of fractional derivatives are
currently used in many fields of science and engineering. Therefore, the first purpose of this …
currently used in many fields of science and engineering. Therefore, the first purpose of this …
[PDF][PDF] Representation of solution the M-Sturm-Liouville problem with natural transform
E Bas, M Karaoglan - … Journal of Mathematics and Computer in …, 2023 - sciendo.com
In this article, we develop the natural transform in terms of the M-derivative. We improve the
basic notions for this new interesting version of the fractional transform. We introduce the …
basic notions for this new interesting version of the fractional transform. We introduce the …
Fractional view analysis of Emden-Fowler equations with the help of analytical method
This work aims at a new semi-analytical technique called the Adomian decomposition
method for the analysis of time-fractional Emden–Fowler equations. The Laplace …
method for the analysis of time-fractional Emden–Fowler equations. The Laplace …
Backward bifurcation in a fractional-order and two-patch model of tuberculosis epidemic with incomplete treatment
In this paper, we consider a tuberculosis model with incomplete treatment and extend the
model to a Caputo fractional-order and two-patch version with exogenous re-infection …
model to a Caputo fractional-order and two-patch version with exogenous re-infection …
Dynamical behaviours and soliton solutions of the conformable fractional Schrödinger–Hirota equation using two different methods
M Odabasi Koprulu - Journal of Taibah University for Science, 2022 - Taylor & Francis
The nonlinear conformable fractional Schrödinger–Hirota (NCFSH) equation, describing the
propagation of optical solitons in a dispersive optical fibre, is considered and its exact …
propagation of optical solitons in a dispersive optical fibre, is considered and its exact …
On the exact solutions to Biswas–Arshed equation involving truncated M-fractional space-time derivative terms
YS Özkan - Optik, 2021 - Elsevier
In this work, two different schemes, the extended hyperbolic auxiliary and the simplest
equation method, are employed to construct the exact solutions involving parameters of the …
equation method, are employed to construct the exact solutions involving parameters of the …
Applications of the Simplest Equation Procedure to Some Fractional Order Differential Equations in Mathematical Physics
The aim of the paper is to find the exact solutions to the nonlinear partial differential
equations of fractional-order. The simplest equation procedure is handled for this purpose …
equations of fractional-order. The simplest equation procedure is handled for this purpose …
Exact analytical solutions of the fractional biological population model, fractional EW and modified EW equations
M Odabaşı - An International Journal of Optimization and Control …, 2021 - ijocta.org
In this paper, exact analytical solutions of the biological population model, the EW and the
modified EW equations with a conformable derivative operator have been examined by …
modified EW equations with a conformable derivative operator have been examined by …
Symbolic computations for exact solutions of fractional partial differential equations with reaction term
ZP Izgi, MO Koprulu, H Koçak - … and Modeling for Fractional Order Systems, 2024 - Elsevier
The most popular fields of interdisciplinary studies for real-world applications, such as
population growth dynamics, diffusion–reaction, and Duffing models, are concerned with …
population growth dynamics, diffusion–reaction, and Duffing models, are concerned with …
Investigation of exact solutions of some nonlinear evolution equations via an analytical approach
M Odabaşı - Mathematical Sciences and Applications E-Notes, 2021 - dergipark.org.tr
This study investigates exact analytical solutions of some nonlinear partial differential
equations arising in mathematical physics. To this reason, the Kudryashov-Sinelshchikov …
equations arising in mathematical physics. To this reason, the Kudryashov-Sinelshchikov …