The Modified Fractional Power Series Method for Solving Fractional Non-isothermal Reaction–Diffusion Model Equations in a Spherical Catalyst
| dc.contributor.author | Syam, Muhammed I | |
| dc.contributor.author | Anwar, Mohamed-Naim | |
| dc.contributor.author | Yehia Yildirim, Ahmet | |
| dc.contributor.author | Syam, Mahmmoud M | |
| dc.date.accessioned | 2025-12-05T07:26:54Z | |
| dc.date.available | 2025-12-05T07:26:54Z | |
| dc.date.issued | 2019-03 | |
| dc.description | The singular behavior at gives the main difficulty for solving this class of problems. Several numerical techniques used to solve this type of problems, see [1,2,3]. Many industrial reactors involve heterogeneous kinetics of packed catalytic pellets. The dimensionless concentration of chemical species within a spherical catalyst is modeled mathematically in the form. | |
| dc.description.abstract | In this paper, we study the fractional non-isothermal reaction–diffusion model equations in a spherical catalyst. The modified fractional power series method (MFPS) is employed to compute an approximation to the solution of this problem. The validity of the MFPS is ascertained by computing the solutions as approaches to 1 and comparing our results with other methods in the literature when . The numerical results show the efficiency of our method. The existences of the solution is proved. In addition, the convergent of the proposed method is investigated. The influences of the main parameters in the model on the solution are discussed. Keywords Fractional non-isothermal reaction–diffusion model equations in a spherical catalyst, Nonlinear boundary value problem, Modified fractional power series method | |
| dc.identifier.citation | Syam, M. I., Anwar, M. N. Y., Yildirim, A., & Syam, M. M. (2019). The modified fractional power series method for solving fractional non-isothermal reaction–diffusion model equations in a spherical catalyst. International Journal of Applied and Computational Mathematics, 5(2), 38. | |
| dc.identifier.doi | https://doi.org/10.1007/s40819-019-0624-0 | |
| dc.identifier.uri | https://repository.adu.ac.ae/handle/1/7836 | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.title | The Modified Fractional Power Series Method for Solving Fractional Non-isothermal Reaction–Diffusion Model Equations in a Spherical Catalyst | |
| dc.type | Article |