New discussion on nonlocal controllability for fractional evolution system of order

M Mohan Raja, V Vijayakumar, A Shukla… - Advances in Difference …, 2021 - Springer
In this manuscript, we deal with the nonlocal controllability results for the fractional evolution
system of 1< r< 2 1<r<2 in a Banach space. The main results of this article are tested by …

Approximate solutions and Hyers–Ulam stability for a system of the coupled fractional thermostat control model via the generalized differential transform

S Etemad, B Tellab, J Alzabut, S Rezapour… - Advances in Difference …, 2021 - Springer
In this paper, we consider a new coupled system of fractional boundary value problems
based on the thermostat control model. With the help of fixed point theory, we investigate the …

Investigation of the neutral fractional differential inclusions of Katugampola-type involving both retarded and advanced arguments via Kuratowski MNC technique

S Etemad, MS Souid, B Telli, MKA Kaabar… - Advances in Difference …, 2021 - Springer
A class of the boundary value problem is investigated in this research work to prove the
existence of solutions for the neutral fractional differential inclusions of Katugampola …

On the generalized fractional snap boundary problems via G-Caputo operators: existence and stability analysis

ME Samei, MM Matar, S Etemad… - Advances in Difference …, 2021 - Springer
This research is conducted for studying some qualitative specifications of solution to a
generalized fractional structure of the standard snap boundary problem. We first rewrite the …

Sufficient conditions for the existence of oscillatory solutions to nonlinear second order differential equations

AK Sethi, M Ghaderi, S Rezapour, MKA Kaabar… - Journal of Applied …, 2022 - Springer
Some electrical events consist of mathematical models and due to the essence of electric
current, their related differential equations have naturally an interesting property where all …

On the existence and stability of two positive solutions of a hybrid differential system of arbitrary fractional order via Avery–Anderson–Henderson criterion on cones

MM Matar, M abu Jarad, M Ahmad, A Zada… - Advances in Difference …, 2021 - Springer
The main objective of this paper is to investigate the existence, uniqueness, and Ulam–
Hyers stability of positive solutions for fractional integro-differential boundary values …

A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam–Hyers type

A Nouara, A Amara, E Kaslik, S Etemad… - Advances in Difference …, 2021 - Springer
In this research work, a newly-proposed multiterm hybrid multi-order fractional boundary
value problem is studied. The existence results for the supposed hybrid fractional differential …

On a generalized fractional boundary value problem based on the thermostat model and its numerical solutions via Bernstein polynomials

S Etemad, B Tellab, CT Deressa, J Alzabut, Y Li… - Advances in Difference …, 2021 - Springer
In this paper, we introduce a new structure of the generalized multi-point thermostat control
model motivated by its standard model. By presenting integral solution of this boundary …

Application of some special operators on the analysis of a new generalized fractional Navier problem in the context of q-calculus

S Etemad, SK Ntouyas, A Imran, A Hussain… - Advances in Difference …, 2021 - Springer
The key objective of this study is determining several existence criteria for the sequential
generalized fractional models of an elastic beam, fourth-order Navier equation in the context …

A generalized neutral-type inclusion problem in the frame of the generalized Caputo fractional derivatives

A Lachouri, MS Abdo, A Ardjouni, S Etemad… - Advances in Difference …, 2021 - Springer
In this paper, we study the existence of solutions for a generalized sequential Caputo-type
fractional neutral differential inclusion with generalized integral conditions. The used …