Optimal control problems for Hilfer fractional neutral stochastic evolution hemivariational inequalities

S Sivasankar, R Udhayakumar, V Subramanian… - Symmetry, 2022 - mdpi.com
In this paper, we concentrate on a control system with a non-local condition that is governed
by a Hilfer fractional neutral stochastic evolution hemivariational inequality (HFNSEHVI). By …

On Starlike Functions of Negative Order Defined by q-Fractional Derivative

S Riaz, UA Nisar, Q Xin, SN Malik, A Raheem - Fractal and Fractional, 2022 - mdpi.com
In this paper, two new classes of q-starlike functions in an open unit disc are defined and
studied by using the q-fractional derivative. The class S q*˜(α), α∈(− 3, 1], q∈(0, 1) …

On new fractional version of generalized Hermite-Hadamard inequalities

AA Hyder, AA Almoneef, H Budak, MA Barakat - Mathematics, 2022 - mdpi.com
In this study, we establish a novel version of Hermite-Hadamard inequalities through
neoteric generalized Riemann-Liouville fractional integrals (RLFIs). For functions with the …

The Cădariu-Radu method for existence, uniqueness and Gauss hypergeometric stability of Ω-Hilfer fractional differential equations

SR Aderyani, R Saadati, M Fečkan - Mathematics, 2021 - mdpi.com
Using the Cădariu–Radu method derived from the Diaz–Margolis theorem, we study the
existence, uniqueness and Gauss hypergeometric stability of Ω-Hilfer fractional differential …

Analysis of implicit solutions for a coupled system of hybrid fractional order differential equations with hybrid integral boundary conditions in Banach algebras

Y Awad, Y Alkhezi - Symmetry, 2023 - mdpi.com
This paper investigates the existence and uniqueness of implicit solutions in a coupled
symmetry system of hybrid fractional order differential equations, along with hybrid integral …

New Van der Pol–Duffing Jerk Fractional Differential Oscillator of Sequential Type

A Abdelnebi, Z Dahmani - Mathematics, 2022 - mdpi.com
The subject of this paper is the existence, uniqueness and stability of solutions for a new
sequential Van der Pol–Duffing (VdPD) jerk fractional differential oscillator with Caputo …

Existence results for a differential equation involving the right Caputo fractional derivative and mixed nonlinearities with nonlocal closed boundary conditions

B Ahmad, M Alnahdi, SK Ntouyas - Fractal and Fractional, 2023 - mdpi.com
In this study, we present a new notion of nonlocal closed boundary conditions. Equipped
with these conditions, we discuss the existence of solutions for a mixed nonlinear differential …

Novel stability results for Caputo fractional differential equations

A Ben Makhlouf, ES El-Hady - Mathematical Problems in …, 2021 - Wiley Online Library
Modelling some diseases with large mortality rates worldwide, such as COVID‐19 and
cancer is crucial. Fractional differential equations are being extensively used in such …

A Legendre-spectral method for Hadamard fractional partial differential equations

G Istafa, M ur Rehman - Mathematical Sciences, 2024 - Springer
In this paper, we present a spectral method to obtain numerical solutions of Caputo–
Hadamard fractional partial differential equations. For better approximations, a modification …

On unconditionally stable new modified fractional group iterative scheme for the solution of 2d time-fractional telegraph model

A Ali, T Abdeljawad, A Iqbal, T Akram, M Abbas - Symmetry, 2021 - mdpi.com
In this study, a new modified group iterative scheme for solving the two-dimensional (2D)
fractional hyperbolic telegraph differential equation with Dirichlet boundary conditions is …