Yazar "Kılıçman, Adem" için listeleme
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Analytical Solutions of Nonlinear Klein-Gordon Equations Using Multistep Modified Reduced Differential Transform Method
Che Hussin, Che Haziqah; Md Ismail, Ahmad Izani; Kılıçman, Adem; Azmi, Amirah (VINCA INST NUCLEAR SCI, MIHAJLA PETROVICA-ALASA 12-14 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIA, 2019)This paper explores the approximate analytical solution of non-linear Klein-Gordon equations (NKGE) by using multistep modified reduced differential transform method (MMRDTM). Through this proposed strategy, the non-linear ... -
Asymptotic and boundedness behaviour of a rational difference equation
Dilip, Devadanam Suseela; Kılıçman, Adem; Babu, Sibi C. (TAYLOR & FRANCIS LTD, 2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND, 2019)In this work, we investigate the asymptotic behaviour and examine boundedness of the solutions for the following difference equation xn+1 = αλ−(nxn+(n−k)xn−k ) β + nxn + (n − k)xn−k , n = 0, 1, 2, ... (1) where λ ≥ 1 ... -
Hankel Determinants of Non-Zero Modulus Dixon Elliptic Functions via Quasi C Fractions
Silambarasan, Rathinavel; Kılıçman, Adem (MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2019)The Sumudu transform of the Dixon elliptic function with non-zero modulus alpha not equal 0 for arbitrary powers N is given by the product of quasi C fractions. Next, by assuming the denominators of quasi C fractions as ... -
Local Stability of Dengue Model Using the Fractional Order System with Different Memory Effect on the Host and Vector Population
Hamdan, Nur 'Izzati; Kılıçman, Adem (VINCA INST NUCLEAR SCI, MIHAJLA PETROVICA-ALASA 12-14 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIA, 2019)In this study, we formulate a fractional order dengue model by considering different order dynamics on human and mosquito population. The order of the differential equation is associated with the index of memory. Both human ... -
Mixed Solutions of Monotone Iterative Technique for Hybrid Fractional Differential Equations
Damage, Faten H.; Kılıçman, Adem; Ibrahim, Rabha W. (MAIK NAUKA/INTERPERIODICA/SPRINGER, 233 SPRING ST, NEW YORK, NY 10013-1578 USA, 2019)In this present work we concern with mathematical modelling of biological experiments. The fractional hybrid iterative differential equations are suitable for mathematical modelling of biology and also interesting equations ... -
On a Generalization of the Initial-Boundary Problem for the Vibrating String Equation
Amanov, Djumaklich; Ibragimov, Gafurjan; Kılıçman, Adem (MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2019)In the present paper, we study a generalization of the initial-boundary problem for the inhomogeneous vibrating string equation. The initial conditions include the higher order derivatives of the unknown function. The ... -
On Conformable Double Laplace Transform and One Dimensional Fractional Coupled Burgers' Equation
Eltayeb, Hassan; Bachar, Imed; Kılıçman, Adem (MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2019)In the present work we introduced a new method and name it the conformable double Laplace decomposition method to solve one dimensional regular and singular conformable functional Burger's equation. We studied the existence ... -
Oscillatory Behavior of Three Dimensional α-Fractional Delay Differential Systems
Kılıçman, Adem; Sadhasivam, Vadivel; Deepa, Muthusamy; Nagajothi, Nagamanickam (MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2018)In the present work we study the oscillatory behavior of three dimensional α-fractional nonlinear delay differential system. We establish some sufficient conditions that will ensure all solutions are either oscillatory ... -
Sensitivity Analysis in a Dengue Fever Transmission Model: A fractional order system approach
Hamdan, Nur 'Izzati; Kılıçman, Adem (IOP PUBLISHING LTD, DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND, 2019)The main purpose of the study of dengue fever transmission is to be able to determine the best approach to reduce human mortality and morbidity caused by the disease. Therefore, it is essential to identify the relative ...
