Search Results - "Tunç, Osman"
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1
On fractal-fractional Covid-19 mathematical model
Published in Chaos, solitons and fractals (01-04-2022)“…In this article, we are studying a Covid-19 mathematical model in the fractal-fractional sense of operators for the existence of solution, Hyers-Ulam (HU)…”
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2
On the behaviors of solutions of systems of non-linear differential equations with multiple constant delays
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-10-2021)“…In this paper, non-perturbed and perturbed systems of non-linear differential equations with multiple constant delays are considered. Five new theorems on the…”
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3
Qualitative analysis of caputo fractional integro-differential equations with constant delays
Published in Computational & applied mathematics (01-09-2021)“…In this paper, a nonlinear Volterra integro-differential equation with Caputo fractional derivative, multiple kernels, and multiple constant delays is…”
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4
Solution estimates to Caputo proportional fractional derivative delay integro-differential equations
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (2023)“…In this article, a class of scalar generalized Caputo proportional fractional derivative delay integro-differential equations (CPFrDIDEs) with multiple…”
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5
On the stability, integrability and boundedness analyses of systems of integro-differential equations with time-delay retardation
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-07-2021)“…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…”
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6
New Results on the Ulam–Hyers–Mittag–Leffler Stability of Caputo Fractional-Order Delay Differential Equations
Published in Mathematics (Basel) (01-05-2024)“…The author considers a nonlinear Caputo fractional-order delay differential equation (CFrDDE) with multiple variable delays. First, we study the existence and…”
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7
A fractional order Zika virus model with Mittag–Leffler kernel
Published in Chaos, solitons and fractals (01-05-2021)“…Zika virus is one of the lethal virus which is a threat to humans health. It can be transmitted from human to human, from mosquitos to human, from human to…”
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8
Stability tests and solution estimates for non-linear differential equations
Published in An international journal of optimization and control (01-01-2023)“…This article deals with certain systems of delay differential equations (DDEs) and a system of ordinary differential equations (ODEs). Here, five new theorems…”
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9
Ulam stabilities of nonlinear iterative integro-differential equations
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-07-2023)“…In this paper, we deal with nonlinear iterative integro-functional differential equations (IIFDEs) of first order. We study the uniqueness of solutions and…”
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10
On the fundamental qualitative properties of integro-delay differential equations
Published in Communications in nonlinear science & numerical simulation (01-10-2023)“…This paper discusses qualitative properties of solutions of certain unperturbed and perturbed systems of nonlinear integro-delay differential equations…”
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11
Solution estimates and stability tests for nonlinear delay integro-differential equations
Published in Electronic journal of differential equations (05-10-2022)“…In this article, we examine various qualitative features of solutions of a nonlinear delay integro-differential equation. We prove three new theorems which…”
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12
On Ulam Stabilities of Delay Hammerstein Integral Equation
Published in Symmetry (Basel) (01-09-2023)“…In this paper, we consider a Hammerstein integral equation (Hammerstein IE) in two variables with two variables of time delays. The aim of this paper is to…”
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13
On Ulam stabilities of iterative Fredholm and Volterra integral equations with multiple time-varying delays
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-07-2024)“…In present study, we deal with nonlinear iterative Fredholm and Volterra integral equations (Fredholm and Volterra IEs) including variable time delays. We are…”
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14
Mathematical analysis of stochastic epidemic model of MERS-corona & application of ergodic theory
Published in Mathematics and computers in simulation (01-05-2023)“…The “Middle East Respiratory” (MERS-Cov) is among the world’s dangerous diseases that still exist. Presently it is a threat to Arab countries, but it is a…”
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15
The analysis of some special results of a Lasota–Wazewska model with mixed variable delays
Published in Advances in difference equations (11-05-2021)“…This study is about getting some conditions that guarantee the existence and uniqueness of the weighted pseudo almost periodic (WPAP) solutions of a…”
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16
On the existence of solutions of non-linear 2D Volterra integral equations in a Banach Space
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-07-2022)“…In this work, we examine the solvability of non-linear 2D Volterra integral equations through Petryshyn fixed point theorem in Banach space C ( [ 0 , c ] × [ 0…”
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17
On the Qualitative Analysis of Solutions of a Class of Nonlinear Differential Equations of the Second Order with Constant Delay
Published in Journal of mathematical sciences (New York, N.Y.) (09-07-2023)“…We consider a class of nonlinear second-order differential equations with constant delay and investigate qualitative properties of the solutions, namely,…”
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18
A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients
Published in Results in control and optimization (01-03-2023)“…In this article, we consider a Covid-19 model for a population involving diabetics as a subclass in the fractal–fractional (FF) sense of derivative. The study…”
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19
On the Fundamental Analyses of Solutions to Nonlinear Integro-Differential Equations of the Second Order
Published in Mathematics (Basel) (01-11-2022)“…In this article, a scalar nonlinear integro-differential equation of second order and a non-linear system of integro-differential equations with infinite…”
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20
On the asymptotic stability of solutions of stochastic differential delay equations of second order
Published in Journal of Taibah University for Science (11-12-2019)“…In this paper, we consider a non-linear stochastic differential delay equation (SDDE) of second order. We derive new sufficient conditions which guarantee…”
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