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 …

On a new four-dimensional model of memristor-based chaotic circuit in the context of nonsingular Atangana–Baleanu–Caputo operators

CT Deressa, S Etemad, S Rezapour - Advances in difference equations, 2021 - Springer
A memristor is naturally a nonlinear and at the same time memory element that may
substitute resistors for next-generation nonlinear computational circuits that can show …

Some analytical and numerical results for a fractional q-differential inclusion problem with double integral boundary conditions

M Shabibi, ME Samei, M Ghaderi… - Advances in Difference …, 2021 - Springer
In this work, we study aq-differential inclusion with doubled integral boundary conditions
under the Caputo derivative. To achieve the desired result, we use the endpoint property …

Numerical solvability of generalized Bagley–Torvik fractional models under Caputo–Fabrizio derivative

S Hasan, N Djeddi, M Al-Smadi, S Al-Omari… - Advances in Difference …, 2021 - Springer
This paper deals with the generalized Bagley–Torvik equation based on the concept of the
Caputo–Fabrizio fractional derivative using a modified reproducing kernel Hilbert space …

On a Duffing-type oscillator differential equation on the transition to chaos with fractional q-derivatives

M Houas, ME Samei, S Sundar Santra… - Journal of Inequalities and …, 2024 - Springer
In this paper, by applying fractional quantum calculus, we study a nonlinear Duffing-type
equation with three sequential fractional q-derivatives. We prove the existence and …

Existence of solutions for a class of nonlinear boundary value problems on the hexasilinane graph

A Turab, ZD Mitrović, A Savić - Advances in Difference Equations, 2021 - Springer
Chemical graph theory is a field of mathematics that studies ramifications of chemical
network interactions. Using the concept of star graphs, several investigators have looked …

Coupled system of three sequential Caputo fractional differential equations: Existence and stability analysis

AH Ganie, M Houas, MM AlBaidani… - … Methods in the …, 2023 - Wiley Online Library
Recently, many studies on fractional coupled systems involving different sequential
fractional derivatives have appeared during the past several years. The paper is dealing …

A system of additive functional equations in complex Banach algebras

S Paokanta, M Dehghanian, C Park… - Demonstratio …, 2023 - degruyter.com
In this article, we solve the system of additive functional equations: 2 f (x+ y)− g (x)= g (y), g
(x+ y)− 2 f (y− x)= 4 f (x) and prove the Hyers-Ulam stability of the system of additive …

An analysis on the controllability and stability to some fractional delay dynamical systems on time scales with impulsive effects

B Pervaiz, A Zada, S Etemad, S Rezapour - Advances in Difference …, 2021 - Springer
In this article, we establish a new class of mixed integral fractional delay dynamic systems
with impulsive effects on time scales. We investigate the qualitative properties of the …

[PDF][PDF] The (Ψ, Φ)-orthogonal interpolative contractions and an application to fractional differential equations

M Nazam, K Javed, M Arshad - Filomat, 2023 - doiserbia.nb.rs
In this manuscript, we introduce the (Ψ, Φ)-orthogonal interpolative contraction as a
generalization of an orthogonal interpolative contraction. We prove several fixed point …