[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 …

[PDF][PDF] Existence of solutions to the∞-point fractional BVP posed on half-line via a family of measure of noncompactness in the Hölder space Cℓ, α (R+)

M Khuddush, RK Prasad, D Leela - Filomat, 2022 - doiserbia.nb.rs
This paper deals with the existence of solutions for the Riemann-Liouville fractional order
boundary value problem with infinite-point boundary conditions posed on half-line via the …

Measures of noncompactness in the space of regulated functions and its application to some nonlinear infinite systems of fractional differential equations

H Mehravaran, H Amiri Kayvanloo, R Allahyari - Mathematical Sciences, 2023 - Springer
We study the following infinite systems of fractional boundary value problem: c D qv (τ)= f (t,
v 1 (τ), v 2 (τ),…), q∈(n-1, n], n≥ 2 τ∈[0, T], v (0)= 0, v′(0)= 0,…, v (n-2)(0)= 0, v (T)=∑ ς= 1 …

Regulated functions space R (R+, R∞) and its application to some infinite systems of fractional differential equations via family of measures of noncompactness

KH Amiri, M Mursaleen, R Allahyari, H Mehravaran… - Filomat, 2024 - doiserbia.nb.rs
We study the solvability of following infinite systems of fractional boundary value problem
{cDρui (t)= fi (t, ui (t))), ρ∈(n− 1, n), 0< t<+∞, ui (0)= 0, uq i (0)= 0, cDρ− 1ui (∞)= Σm− 2, j= 1 …

Solvability of some fractional differential equations in the Hölder space and their numerical treatment via measures of noncompactness

H Amiri Kayvanloo, M Mursaleen… - Mathematical …, 2023 - Springer
We study the following fractional boundary value problem: D α υ (t)+ f (t, υ (t))= 0, α∈(1, 2],
0< t<+∞, υ (0)= 0, D α-1 υ (∞)= λ∫ 0 τ υ (t) dt. The goal of this paper is to bring forward a …

Solvability of infinite systems of Caputo–Hadamard fractional differential equations in the triple sequence space

H Amiri Kayvanloo, H Mehravaran… - Journal of Pseudo …, 2024 - Springer
First, we introduce the concept of triple sequence space c 3 (▵) and we define a Hausdorff
measure of noncompactness (MNC) on this space. Furthermore, by using this MNC we study …

New class of n-order fractional differential equations and solvability in the double sequence space m²(Δvu, ø, p).

HA KAYVANLOO, E HERAWATI… - Carpathian Journal …, 2025 - search.ebscohost.com
First, we define a new class of fractional differential equations of order n--1 &lt; ϑ≤ n,(n≥ 2).
Also, we define a new Banach double sequence space m² (Δ< sub> v< sup> u, ø, p) and a …

Existence of solutions for the nonlinear integro-differential system

C Li, R Saadati, F Mottaghi, MB Ghaemi - Mathematical Sciences, 2024 - Springer
This paper studies the existence of solutions for a nonlinear Liouville–Caputo integro-
differential system with initial conditions in a Banach space. The results derived are new and …

Existence Results of a Nonlinear Fractional Integral Equation of Two Variables in the Space of Regulated Functions

SA Fatideh, M Khanehgir, R Allahyari… - Journal of Mathematical …, 2024 - ijmex.com
In the present work, we characterize relatively compact subsets of thespace of regulated
functions defined on Davison spaces. Then, we introduce a measureof noncompactness on …

[PDF][PDF] New class of n-order fractional differential equations and solvability in the double sequence space m2 (∆ u

HA KAYVANLOO, E HERAWATI, M MURSALEEN - researchgate.net
First, we define a new class of fractional differential equations of order n− 1< ϑ≤ n,(n≥ 2).
Also, we define a new Banach double sequence space m2 (∆ uv, φ, p) and a Hausdorff MNC …