Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion system

S Etemad, I Iqbal, ME Samei, S Rezapour… - Journal of Inequalities …, 2022 - Springer
Results reported in this paper establish the existence of solutions for a class of generalized
fractional inclusions based on the Caputo–Hadamard jerk system. Under some inequalities …

Stability for generalized Caputo proportional fractional delay integro-differential equations

M Bohner, S Hristova - Boundary Value Problems, 2022 - Springer
A scalar nonlinear integro-differential equation with time-variable and bounded delays and
generalized Caputo proportional fractional derivative is considered. The main goal of this …

Solvability of fractional integral equations via Darbo's fixed point theorem

BC Deuri, A Das - Journal of Pseudo-Differential Operators and …, 2022 - Springer
Solvability of fractional integral equations via Darbo’s fixed point theorem | Journal of
Pseudo-Differential Operators and Applications Skip to main content SpringerLink Account Menu …

Solution of Hammerstein type integral equation with two variables via a new fixed point theorem

A Das, BC Deuri - The Journal of Analysis, 2023 - Springer
In this manuscript, a new fixed point theorem (FTP) involving the measure of
noncompactness is discussed. This new FTP is a generalization of Darbo's FTP in Banach …

The existence of a solution to more general proportional forms of fractional integrals via a measure of noncompactness

BC Deuri, A Das - International Journal of Nonlinear Analysis and …, 2023 - ijnaa.semnan.ac.ir
The existence of a solution to more general proportional forms of fractional integrals via a
measure of noncompactness Page 1 Int. J. Nonlinear Anal. Appl. 14 (2023) 10, 117–125 ISSN …

Modified version of fixed point theorems and their applications on a fractional hybrid differential equation in the space of continuous tempered functions

S Deb, A Das - Journal of Pseudo-Differential Operators and …, 2023 - Springer
This article contains modified version of fixed point theorems with the help of freshly made
contraction operators and the solvability of a fractional hybrid differential equation involving …

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 …

A generalized Darbo's fixed point theorem and its applications to different types of hybrid differential equations

A Das, S Deb, R Goswami, T Ahmed, Z Izadi… - Boundary Value …, 2023 - Springer
In this article, a generalization of Darbo's fixed point theorem using a new contraction
operator is obtained to solve our proposed hybrid differential and fractional hybrid …

Solution of a nonlinear fractional-order initial value problem via a -algebra-valued -metric space

G Janardhanan, G Mani, EAR Michael… - Fixed Point Theory and …, 2024 - Springer
Solution of a nonlinear fractional-order initial value problem via a $\mathscr{C}^{*}$ -algebra-valued
$\mathcal{R}$ -metric space | Fixed Point Theory and Algorithms for Sciences and …

Existence of solutions of infinite system of hybrid fractional integro-differential equation

S Deka, A Das, BC Deuri - São Paulo Journal of Mathematical Sciences, 2024 - Springer
In this article, by using a new contraction operator we have developed some new fixed point
theorem and then applied it to establish the solution of our proposed infinite system of hybrid …