Existence of an infinite system of fractional hybrid differential equations in a tempered sequence space

A Das, B Hazarika, BC Deuri - Fractional Calculus and Applied Analysis, 2022 - Springer
In this article, the existence of the solution of infinite system of fractional hybrid differential
equations with initial conditions by reducing them to integral equations in the space C (I, m …

Solvability of infinite systems of fractional differential equations in the double sequence space

H Mehravaran, H Amiri Kayvanloo… - Fractional Calculus and …, 2022 - Springer
In this work, we first introduce the concept of double sequence space 2 c (▵). Then, we
construct a Hausdorff measure of noncompactness on this space. Furthermore, by …

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 < ϑ≤ n,(n≥ 2).
Also, we define a new Banach double sequence space m² (Δ< sub> v< sup> u, ø, p) and a …

Solvability of infinite system of nonlinear convolution type integral equations in the tempered sequence space m β (φ, p)

H Mehravaran, HA Kayvanloo - Asian-European Journal of …, 2023 - World Scientific
In this paper, we first introduce the concept of tempered sequence space m β (φ, p). Then,
we construct a Hausdorff measure of noncompactness on this sequence space …

Solution of an infinite system of fractional differential equations in tempered sequence space

R Rahul, S Halder, NK Mahato - Mathematical Analysis and its …, 2023 - macajournal.com
In this article, we study an infinite system of fractional differential equations involving a
generalized Caputo-Fabrizio fractional operator. By using Darbo's fixed point theorem and …

[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 …