Browsing by Author "Suthar, D. L."

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Citation Count: Bhatter, Sanjay...et al. (2023). "A generalized study of the distribution of buffer over calcium on a fractional dimension", Applied Mathematics In Science And Engineering, Vol. 31, No. 1
A generalized study of the distribution of buffer over calcium on a fractional dimension
(2023) Bhatter, Sanjay; Jangid, Kamlesh; Kumawat, Shyamsunder; Purohit, Sunil Dutt; Baleanu, Dumitru; Suthar, D. L.; 56389
Calcium is an essential element in our body and plays a vital role in moderating calcium signalling. Calcium is also called the second messenger. Calcium signalling depends on cytosolic calcium concentration. In this study, we focus on cellular calcium fluctuations with different buffers, including calcium-binding buffers, using the Hilfer fractional advection-diffusion equation for cellular calcium. Limits and start conditions are also set. By combining with intracellular free calcium ions, buffers reduce the cytosolic calcium concentration. The buffer depletes cellular calcium and protects against toxicity. Association, dissociation, diffusion, and buffer concentration are modelled. The solution of the Hilfer fractional calcium model is achieved through utilizing the integral transform technique. To investigate the influence of the buffer on the calcium concentration distribution, simulations are done in MATLAB 21. The results show that the modified calcium model is a function of time, position, and the Hilfer fractional derivative. Thus the modified Hilfer calcium model provides a richer physical explanation than the classical calcium model.
Citation Count: Habenom, Haile;...et.al. (2021). "A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model", Journal Of Computational And Nonlinear Dynamics, Vol.16, No.1.
A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model
(2021) Habenom, Haile; Suthar, D. L.; Baleanu, D.; Purohit, S. D.; 56389
The aim of this paper is to develop a fractional order mathematical model for describing the spread of hepatitis B virus (HBV). We also provide a rigorous mathematical analysis of the stability of the disease-free equilibrium (DFE) and the endemic equilibrium of the system based on the basic reproduction number. Here, the infectious disease HBV model is described mathematically in a nonlinear system of differential equations in a caputo sense, and hence, Jacobi collocation method is used to reduce into a system of nonlinear equations. Finally, Newton Raphson method is used for the systems of nonlinear equations to arrive at an approximate solution and matlab 2018 has helped us to simulate the nature of each compartment and effects of the possible control strategies (i.e., vaccination and isolation).
Citation Count: Suthar, D.L...et al. (2020). "Certain K-Fractional Calculus Operators and Image Formulas of K-Struve Function",Aims Mathematics, Vol. 5, No. 3, pp. 1706-1719.
Certain K-Fractional Calculus Operators and Image Formulas of K-Struve Function
(American Institute of Mathematical Sciences, 2020) Suthar, D. L.; Baleanu, Dumitru; Purohit, S. D.; Uçar, Faruk; 56389
In this article, the Saigo’s k-fractional order integral and derivative operators involving k-hypergeometric function in the kernel are applied to the k-Struve function; outcome are expressed in the term of k-Wright function, which are used to present image formulas of integral transforms including beta transform. Also special cases related to fractional calculus operators and Struve functions are considered.