Browsing by Author "Hosseini, Kamyar"

Now showing 1 - 4 of 4

Citation Count: 0
Efficient scheme for a category of variable-order optimal control problems based on the sixth-kind Chebyshev polynomials
(de Gruyter Poland Sp Z O O, 2024) Sadri, Khadijeh; Hosseini, Kamyar; Salahshour, Soheil; Baleanu, Dumitru; Ahmadian, Ali; Park, Choonkil
The main goal of the present study is to introduce an operational collocation scheme based on sixth-kind Chebyshev polynomials (SCPs) to solve a category of optimal control problems involving a variable-order dynamical system (VODS). To achieve this goal, the collocation method based on SCPs, the pseudo-operational matrix for the fractional integral operator, and the dual operational matrix are adopted. More precisely, an algebraic equation is obtained instead of the objective function and a system of algebraic equation is derived instead of the VODS. The constrained equations obtained from joining the objective function to the VODS are ultimately optimized using the method of the Lagrange multipliers. Detailed convergence analysis of the suggested method is given as well. Four illustrative examples along with several tables and figures are formally provided to support the efficiency and preciseness of the numerical scheme.
Citation Count: 0
FRACTIONAL DYNAMICS OF CHRONIC LYMPHOCYTIC LEUKEMIA WITH THE EFFECT OF CHEMOIMMUNOTHERAPY TREATMENT
(World Scientific Publ Co Pte Ltd, 2024) Jan, Rashid; Salahshour, Soheıl; Alyobi, Sultan; Khan, Zaryab; Hosseini, Kamyar; Park, Choonkil; Paokanta, Siriluk
Currently, immunotherapy is seen to be the most effective cancer treatment. This is especially true while treating chronic lymphocytic leukemia (CLL), a slow-growing B-lymphocyte neoplasm that gradually compromises the immune system. Mathematical modeling is acknowledged as a key technique for analyzing theoretical and practical challenges in this field of cancer research and others. We were inspired to develop a mathematical model because of its dearth in investigations of chemotherapy-induced immunotherapy for CLL. This study effort formulates the dynamics of lymphocytic leukemia utilizing fractional calculus to conceptualize the complex processes of this viral illness. The basic idea of fractional calculus has been shown using the Atangana-Baleanu framework. For the suggested model's chaotic and dynamic behavior, a new numerical approach is described. We inspect the stability and convergence of the suggested numerical technique in our work. The fluctuation of various system input elements has demonstrated the oscillatory and chaotic behavior of the system. Moreover, we have demonstrated how the suggested mechanism of lymphocytic leukemia infection is affected by fractional order. Through numerical simulations, the most important input parameters are emphasized, and the policymakers are given control intervention suggestions.
Citation Count: 1
A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels
(Cell Press, 2024) Sadri, Khadijeh; Salahshour, Soheıl; Hincal, Evren; Hosseini, Kamyar; Salahshour, Soheil
Volterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation category. The method employs shifted Chebyshev polynomials of the fifth kind (SCPFK) to construct two-dimensional pseudooperational matrices of integration, avoiding the need for explicit integration and thereby speeding up computations. Error bounds are examined in a Chebyshev-weighted space, providing insights into approximation accuracy. The approach is applied to several experimental examples, and the results are compared with those obtained using the Bernoulli wavelets and Legendre wavelets methods.
Citation Count: 0
Some Models in Unmagnetized Plasma Involving Kaniadakis Distributed Electrons and Temperature Ratio: Dust Ion Acoustic Solitary Waves
(Shahid Chamran Univ Ahvaz, Iran, 2024) Kalita, Jyotishmita; Salahshour, Soheıl; Das, Ranjan; Hosseini, Kamyar; Salahshour, Soheil; Baleanu, Dumitru
The current paper studies the influence of the temperature ratio of ion-to-electron alpha , dust concentration mu , and kappa- deformed parameter on dust ion acoustic solitary waves in an unmagnetized plasma with Kaniadakis distributed electrons. More precisely, the reductive perturbation technique is utilized to extract the Korteweg-de Vries and modified Korteweg-de Vries equations. Both compressive and rarefactive Korteweg-de Vries solitons are found to exist in the ranges 0 < <= 0.677 and 0.677 < <1, respectively, and only compressive modified Korteweg-de Vries solitons in the range 0 < mu <= 0.11. In an unmagnetized plasma with Kaniadakis distributed electrons, the influence of the ion-to-electron temperature ratio on dust ion acoustic solitary waves can have several fascinating applications and consequences in plasma physics and astrophysics.