-norm error analysis of a robust ADI method on graded mesh for three-dimensional subdiffusion problems

Z Zhou, H Zhang, X Yang - Numerical Algorithms, 2024 - Springer
This work proposes a robust ADI scheme on graded mesh for solving three-dimensional
subdiffusion problems. The Caputo fractional derivative is discretized by L1 scheme, where …

Fractional models for analysis of economic risks

S Rogosin, M Karpiyenya - Fractional Calculus and Applied Analysis, 2023 - Springer
In this review paper we try to describe some recent results on modeling and analysis of
economic risks by using the techniques of fractional calculus. The use of fractional order …

Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems

M Abdelhakem, D Mahmoud, D Baleanu… - Advances in Difference …, 2021 - Springer
In this work, a technique for finding approximate solutions for ordinary fraction differential
equations (OFDEs) of any order has been proposed. The method is a hybrid between …

Approximate and Closed‐Form Solutions of Newell‐Whitehead‐Segel Equations via Modified Conformable Shehu Transform Decomposition Method

MI Liaqat, A Khan, MA Alam, MK Pandit… - Mathematical …, 2022 - Wiley Online Library
In this study, we introduced a novel scheme to attain approximate and closed‐form solutions
of conformable Newell‐Whitehead‐Segel (NWS) equations, which belong to the most …

[PDF][PDF] Pointwise-in-time α-robust error estimate of the ADI difference scheme for three-dimensional fractional subdiffusion equations with variable coefficients

W Xiao, X Yang, Z Zhou - Commun. Anal. Mech, 2024 - aimspress.com
In this paper, a fully-discrete alternating direction implicit (ADI) difference method is
proposed for solving three-dimensional (3D) fractional subdiffusion equations with variable …

[HTML][HTML] Mittag-Leffler stability and asymptotic ω-periodicity of fractional-order inertial neural networks with time-delays

L Ke - Neurocomputing, 2021 - Elsevier
In this paper, the stability for a class fractional-order inertial neural networks with time-delay
are investigated. Moreover, some sufficient conditions for the Mittag-Leffler stability and the …

Existence and stability results for nonlocal boundary value problems of fractional order

VS Ertürk, A Ali, K Shah, P Kumar… - Boundary Value …, 2022 - Springer
In this paper, we prove the existence and uniqueness of solutions for the nonlocal boundary
value problem (BVP) using Caputo fractional derivative (CFD). We derive Green's function …

[PDF][PDF] Best approximations of the. φ-Hadamard fractional Volterra integro-differential equation by matrix valued fuzzy control functions

SR Aderyani, R Saadati - Adv Differ Equ, 2021 -  …
In this article, first, we present an example of fuzzy normed space by means of the Mittag-
Leffler function. Next, we extend the concept of fuzzy normed space to matrix valued fuzzy …

Volterra integral equations: An approach based on Lipschitz-continuity

AL Martire - Applied Mathematics and Computation, 2022 - Elsevier
In this study, we consider a linear Volterra integral equation of the second type whose
unique unknown solution is known to be Lipschitz-continuous. Using this property, we derive …

Radu–Miheţ method for UHML stability for a class of ξ‐Hilfer fractional differential equations in matrix valued fuzzy Banach spaces

SR Aderyani, R Saadati, XJ Yang - Mathematical Methods in …, 2021 - Wiley Online Library
In this article, we introduce a class of fuzzy matrix valued control functions and we apply the
Radu–Miheţ method derived from an alternative fixed point theorem to investigate the UHML …