Browsing by Author "Baleanu, Dumitru"

Now showing 1 - 2 of 2

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
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.