Browsing by Author "Alshehri, Hashim M."

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Citation Count: Chowdhury, M. Akher...et.al. (2023). "Advanced exact solutions to the nano-ionic currents equation through MTs and the soliton equation containing the RLC transmission line", European Physical Journal Plus, Vol.138, No.6.
Advanced exact solutions to the nano-ionic currents equation through MTs and the soliton equation containing the RLC transmission line
(2023) Chowdhury, M. Akher; Miah, M. Mamun; Iqbal, M. Ashik; Alshehri, Hashim M.; Baleanu, Dumitru; Osman, M.S.; 56389
In this study, the double (G′/G, 1/G)-expansion method is utilized for illustrating the improved explicit integral solutions for the two of nonlinear evolution equations. To expose the importance and convenience of our assumed method, we herein presume two models, namely the nano-ionic currents equation and the soliton equation. The exact solutions are generated with the aid of our proposed method in such a manner that the solutions involve to the rational, trigonometric, and hyperbolic functions for the first presumed nonlinear equation as well as the trigonometric and hyperbolic functions for the second one with meaningful symbols that promote some unique periodic and solitary solutions. The method used here is an extension of the (G′/G)-expansion method to rediscover all known solutions. We offer 2D and 3D charts of the various recovery solutions to better highlight our findings. Finally, we compared our results with those of earlier solutions. © 2023, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.
Citation Count: Dubey, Ved Prakash;...et.al. (2022). "Generalized invexity and duality in multiobjective variational problems involving non-singular fractional derivative", Open Physics, Vol.20, No.1, pp.939-962.
Generalized invexity and duality in multiobjective variational problems involving non-singular fractional derivative
(2022) Dubey, Ved Prakash; Kumar, Devendra; Alshehri, Hashim M.; Singh, Jagdev; Baleanu, Dumitru; 56389
In this article, we extend the generalized invexity and duality results for multiobjective variational problems with fractional derivative pertaining to an exponential kernel by using the concept of weak minima. Multiobjective variational problems find their applications in economic planning, flight control design, industrial process control, control of space structures, control of production and inventory, advertising investment, impulsive control problems, mechanics, and several other engineering and scientific problems. The proposed work considers the newly derived Caputo-Fabrizio (CF) fractional derivative operator. It is actually a convolution of the exponential function and the first-order derivative. The significant characteristic of this fractional derivative operator is that it provides a non-singular exponential kernel, which describes the dynamics of a system in a better way. Moreover, the proposed work also presents various weak, strong, and converse duality theorems under the diverse generalized invexity conditions in view of the CF fractional derivative operator.
Citation Count: Iqbal, M. Ashik;...et.al. (2023). "New soliton solutions of the mZK equation and the Gerdjikov-Ivanov equation by employing the double G′/G,1/G-expansion method", Results in Physics, Vol.47.
New soliton solutions of the mZK equation and the Gerdjikov-Ivanov equation by employing the double G′/G,1/G-expansion method
(2023) Iqbal, M. Ashik; Baleanu, Dumitru; Miah, M. Mamun; Alit, H.M. Shahada; Alshehri, Hashim M.; Osman, M.S.; 56389
In the electrical transmission lines, the processing of cable signals distribution, computer networks, high-speed computer databases and discrete networks can be investigated by the modified Zakharov-Kuznetsov (mZK) equation as a data link propagation control model in the study of nonlinear Schrödinger type equations as well as in the analysis of the generalized stationary Gardner equation. The proposed Gerdjikov–Ivanov model can be used in the field of nonlinear optics, weakly nonlinear dispersion water waves, quantum field theory etc. In this work, we developed complete traveling wave solutions with specific t-type, kink type, bell-type, singular solutions, and periodic singular solutions to the proposed mZK equation and the Gerdjikov-Ivanov equation with the aid of the double G′/G,1/G- expansion method. These settled solutions are very reliable, durable, and authentic which can measure the fluid velocity and fluid density in the electrically conductive fluid and be able to analysis of the flow of current and voltage of long-distance electrical transmission lines too. These traveling wave solutions are available in a closed format and make them easy to use. The proposed method is consistent with the abstraction of traveling wave solutions.