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https://dspace.iiti.ac.in/handle/123456789/6691
| Title: | A modified quasilinearization method for fractional differential equations and its applications |
| Authors: | Vijesh, Antony Roy, Rupsha |
| Keywords: | Differential equations;Nonlinear equations;Riccati equations;Existence and uniqueness theorem;Fractional derivatives;Fractional differential equations;Fractional order;Modified quasilinearization methods;Monotone iterative techniques;Nonlinear fractional differential equations;Quasi-linearization;Iterative methods |
| Issue Date: | 2015 |
| Publisher: | Elsevier Inc. |
| Citation: | Antony Vijesh, V., Roy, R., & Chandhini, G. (2015). A modified quasilinearization method for fractional differential equations and its applications. Applied Mathematics and Computation, 266, 687-697. doi:10.1016/j.amc.2015.05.132 |
| Abstract: | Abstract In this paper, we prove an existence and uniqueness theorem for solving the nonlinear fractional differential equation of Caputo's type of order q ∈ (0, 1] using the method of modified quasilinearization. The main theorem has been illustrated numerically using appropriate examples which shows that the proposed quasilinearization method is robust and easy to apply. © 2015 Elsevier Inc. |
| URI: | https://doi.org/10.1016/j.amc.2015.05.132 https://dspace.iiti.ac.in/handle/123456789/6691 |
| ISSN: | 0096-3003 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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