Stability and Numerical Simulation of a Nonlinear Hadamard Fractional Coupling Laplacian System with Symmetric Periodic Boundary Conditions

X Lv, K Zhao, H Xie - Symmetry, 2024 - mdpi.com
The Hadamard fractional derivative and integral are important parts of fractional calculus
which have been widely used in engineering, biology, neural networks, control theory, and …

Positive Solution Pairs for Coupled p-Laplacian Hadamard Fractional Differential Model with Singular Source Item on Time Variable

L Cheng, L Guo - Fractal and Fractional, 2024 - search.proquest.com
The mathematical theories and methods of fractional calculus are relatively mature, which
have been widely used in signal processing, control systems, nonlinear dynamics, financial …

Positive solutions for a Hadamard-type fractional p-Laplacian integral boundary value problem

Y Xu, F Wang, D O'Regan, J Xu - Nonlinear Analysis: Modelling and …, 2024 - zurnalai.vu.lt
In this paper we study the existence of positive solutions to a Hadamard-type fractional
integral boundary value problem using fixed point index. We construct a new linear operator …

Positive solutions for Hadamard-type fractional differential equations with nonlocal conditions on an infinite interval

C Zhai, R Liu - Nonlinear Analysis: Modelling and Control, 2024 - zurnalai.vu.lt
The purpose of this paper is to analyse the local existence and uniqueness of positive
solutions for a Hadamard-type fractional differential equation with nonlocal boundary …

ON A NONLINEAR FRACTIONAL BOUNDARY VALUE PROBLEM INCLUDING A HADAMARD FRACTIONAL DERIVATIVE WITH -LAPLACIAN

T Senlik Cerdik - Journal of Integral Equations and Applications, 2024 - projecteuclid.org
We present existence results of the p-Laplacian Hadamard fractional boundary value
problem. We analyze the existence of multiple positive solutions for the fractional boundary …

On a Nonlinear Fractional Boundary Value Problem including Hadamard fractional derivative with p-Laplacian

TS Cerdik - projecteuclid.org
This paper presents the existence results of the p-Laplacian Hadamard fractional boundary
value problem. We analyze the existence of multiple positive solutions for the fractional …