Boundary-value problem for nonlinear fractional differential equations of variable order with finite delay via Kuratowski measure of noncompactness

B Telli, MS Souid, I Stamova - Axioms, 2023 - mdpi.com
This paper is devoted to boundary-value problems for Riemann–Liouville-type fractional
differential equations of variable order involving finite delays. The existence of solutions is …

A new result concerning nonlocal controllability of Hilfer fractional stochastic differential equations via almost sectorial operators

S Sivasankar, R Udhayakumar, M Hari Kishor… - Mathematics, 2022 - mdpi.com
This manuscript mainly focused on the nonlocal controllability of Hilfer fractional stochastic
differential equations via almost sectorial operators. The key ideas of the study are illustrated …

A pseudo-spectral method based on reproducing kernel for solving the time-fractional diffusion-wave equation

M Fardi, SKQ Al-Omari, S Araci - Advances in Continuous and Discrete …, 2022 - Springer
In this paper, we focus on the development and study of the finite difference/pseudo-spectral
method to obtain an approximate solution for the time-fractional diffusion-wave equation in a …

Traveling wave solutions for time-fractional mKdV-ZK equation of weakly nonlinear ion-acoustic waves in magnetized electron–positron plasma

M Alabedalhadi, S Al-Omari, M Al-Smadi, S Alhazmi - Symmetry, 2023 - mdpi.com
In this paper, we discuss the time-fractional mKdV-ZK equation, which is a kind of physical
model, developed for plasma of hot and cool electrons and some fluid ions. Based on the …

Novel bright and kink optical soliton solutions of fractional Lakshmanan–Porsezian–Daniel equation with Kerr law nonlinearity in conformable sense

M Alabedalhadi, S Alhazmi, S Al-Omari, M Al-Smadi… - Fractals, 2023 - World Scientific
The fractional Lakshmanan–Porsezian–Daniel equation (LPD) is a significant complex
model for the fractional Schrödinger family which arises in quantum physics. This paper …

Explicit solutions for fractional Chaffee–Infante reaction–diffusion coupled hierarchy system with conservation laws

R Al‐deiakeh, M Al‐Smadi, A Yusuf… - … Methods in the …, 2023 - Wiley Online Library
This research investigates the explicit series solutions of the fractional Chaffee–Infante
reaction–diffusion coupled hierarchy system utilizing Lie symmetry analysis in two …

PROPERTIES AND 2 α ̃-FRACTAL WEIGHTED PARAMETRIC INEQUALITIES FOR THE FRACTAL (m, h)-PREINVEX MAPPINGS

X Zhang, Y Zhou, T Du - Fractals, 2023 - World Scientific
The fractal (m, h)-preinvex mappings are put forward and their properties are investigated
firstly. Meanwhile, some fractal Hermite–Hadamard-type (HH) and Fejér–Hermite …