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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 …
integro-differential equations (CPFrDIDEs) with multiple non-linear kernels and multiple time …
Qualitative analysis of Caputo fractional integro-differential equations with constant delays
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 …
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 …
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
The purpose of this paper is to investigate some qualitative properties of solutions of
nonlinear fractional retarded Volterra integro-differential equations (FrRIDEs) with Caputo …
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 …
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 …
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 …
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
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 …
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 …
(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
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 …
fading memory is investigated. For the considered fading memory problem, we discuss the …