Solution estimates to Caputo proportional fractional derivative delay integro-differential equations

O Tunç, C Tunç - Revista de la Real Academia de Ciencias Exactas …, 2023 - Springer
In this article, a class of scalar generalized Caputo proportional fractional derivative delay
integro-differential equations (CPFrDIDEs) with multiple non-linear kernels and multiple time …

Qualitative analysis of Caputo fractional integro-differential equations with constant delays

M Bohner, O Tunç, C Tunç - Computational and Applied Mathematics, 2021 - Springer
In this paper, a nonlinear Volterra integro-differential equation with Caputo fractional
derivative, multiple kernels, and multiple constant delays is considered. The aim of this …

On the stability, integrability and boundedness analyses of systems of integro-differential equations with time-delay retardation

C Tunç, O Tunç - Revista de la Real Academia de Ciencias Exactas …, 2021 - Springer
In the paper, Tian and Wang (Appl Math Lett 105: 106325, 8 pp, 2020, Theorem 1) took into
consideration a linear system of integro-delay differential equations (IDDEs) with constant …

[HTML][HTML] Qualitative analyses of integro-fractional differential equations with Caputo derivatives and retardations via the Lyapunov–Razumikhin method

O Tunç, Ö Atan, C Tunç, JC Yao - Axioms, 2021 - mdpi.com
The purpose of this paper is to investigate some qualitative properties of solutions of
nonlinear fractional retarded Volterra integro-differential equations (FrRIDEs) with Caputo …

Hyers–Ulam stability and existence of solution for hybrid fractional differential equation with p-Laplacian operator

A Devi, A Kumar - Chaos, Solitons & Fractals, 2022 - Elsevier
This manuscript studies the hybrid fractional differential equations (FDEs) with the p-
Laplacian operator. The main aim of this research work is to establish the existence and …

[PDF][PDF] Qualitative analysis of integro-differential equations with variable retardation.

M Bohner, O Tunç - Discrete & Continuous Dynamical Systems-Series B, 2022 - mst.edu
The paper is concerned with a class of nonlinear time-varying retarded integro-differential
equations (RIDEs). By the Lyapunov–Krasovskiı functional method, two new results with …

A note on the qualitative analysis of Volterra integro-differential equations

C Tunç, O Tunç - Journal of Taibah University for Science, 2019 - Taylor & Francis
The aim of paper is to analyse some qualitative properties of solutions of nonlinear Volterra
integro-differential equations (VIDDEs) with constant delay and Volterra integro-differential …

On the existence of solutions of some non-linear functional integral equations in Banach algebra with applications

A Deep, Deepmala, C Tunç - Arab Journal of Basic and Applied …, 2020 - Taylor & Francis
In this article, we establish some results for the existence of solution of nonlinear functional
integral equations by using Darbo's fixed point theorem in Banach algebra. As an …

On the qualitative analyses solutions of new mathematical models of integro‐differential equations with infinite delay

C Tunç, O Tunç, CF Wen, JC Yao - Mathematical Methods in …, 2023 - Wiley Online Library
This paper deals with the uniformly stability (US), globally uniformly asymptotically stability
(GUAS) and instability of zero solution as well as integrability and boundedness of nonzero …

On the enhanced new qualitative results of nonlinear Integro-Differential equations

C Tunç, O Tunç, JC Yao - Symmetry, 2022 - mdpi.com
In this article, a class of scalar nonlinear integro-differential equations of first order with
fading memory is investigated. For the considered fading memory problem, we discuss the …