A review on fuzzy differential equations

M Mazandarani, L Xiu - IEEE access, 2021 - ieeexplore.ieee.org
Since the term “Fuzzy differential equations”(FDEs) emerged in the literature in 1978,
prevailing research effort has been dedicated not only to the development of the concepts …

A novel hybrid technique to obtain the solution of generalized fractional-order differential equations

SR Khirsariya, SB Rao, JP Chauhan - Mathematics and Computers in …, 2023 - Elsevier
The motive of the work is to propose a new hybrid technique, the Homotopy Perturbation
General Transform Method (HPGTM) for obtaining an analytic solution for a wide class of …

Oblique explicit wave solutions of the fractional biological population (BP) and equal width (EW) models

AH Abdel-Aty, MMA Khater, D Baleanu… - Advances in Difference …, 2020 - Springer
This research uses the extended exp-(− φ (ϑ)) (-φ(ϑ))-expansion and the Jacobi elliptical
function methods to obtain a fashionable explicit format for solutions to the fragmented …

[HTML][HTML] A new approach to solving fuzzy quadratic Riccati differential equations

NO Moa'ath, A El-Ajou, Z Al-Zhour, T Eriqat… - International Journal of …, 2022 - ijfis.org
In this paper, we present in detail the power series solutions to fuzzy quadratic Riccati
differential equations (QRDEs) along with a suitable fuzzy constant through an interactive …

Solving time-space-fractional Cauchy problem with constant coefficients by finite-difference method

R Edwan, R Saadeh, S Hadid, M Al-Smadi… - Computational …, 2020 - Springer
In this chapter, we present the time-space-fractional Cauchy equation with constant
coefficients, the space and time-fractional derivative are described in the Riemann-Liouville …

A high-order numerical scheme for solving nonlinear time fractional reaction-diffusion equations with initial singularity

H Liu, S Lü - Applied Numerical Mathematics, 2021 - Elsevier
We propose a high-order numerical scheme for nonlinear time fractional reaction-diffusion
equations with initial singularity, where L2-1 σ scheme on graded mesh is used to …

Approximate solutions of fuzzy fractional population dynamics model

MN Oqielat, T Eriqat, O Ogilat, Z Odibat… - The European Physical …, 2022 - Springer
In this work, we employ the Laplace residual power series method (LRPSM) to acquire
numerical results for the complex fuzzy fractional population dynamics model in Caputo's …

Effective approach to construct series solutions for uncertain fractional differential equations

Z Al-Zhour, A El-Ajou, MN Oqielat… - Fuzzy Information and …, 2022 - Taylor & Francis
Purpose: We construct the analytical approximate resiual power fuzzy series solutions of
fuzzy conformable fractional differential equations in an r-level depiction in the sense of …

[PDF][PDF] A new analyzing method for hyperbolic telegraph equation

I Ahmad, A Abouelregal, H Ahmad… - Authorea …, 2020 - researchgate.net
We proposed an efficient local differential quadrature method which is based on the radial
basis function to the numerical solution of the two-dimensional second-order hyperbolic …