Solutions of Nonlinear Fractional Differential Equations Via a Generalized Fixed Point Method and Homotopy Analysis Method (S/O 14192)

• Main Authors: Ying, Teh Yuan, Ibrahim, Haslinda, Md Noorani, Mohd Salmi, Akhadkulov, Habibulla, Jameel, Ali Fareed
• Format: Monograph
• Language: English
• Published: UUM
• Subjects: QA Mathematics
• Online Access: https://repo.uum.edu.my/id/eprint/31562/1/14192.pdf; https://repo.uum.edu.my/id/eprint/31562/
• Institution: Universiti Utara Malaysia

In recent years, a considerable amount of researches in fractional calculus has been published in the science and engineering literature. Recent advances of fractional calculus are dominated by modern examples in signal processing, fluid mechanics, mathematical biology, and electrochemistry. Hence, fractional order differential equation has become an important mathematical method in solving diverse range of problems from the field of sciences and engineering. Previous researches have proved the existence and uniqueness of nonlinear fractional differential equations using existing Banach contraction principle. However, the existing Banach contraction principle is applicable only to a narrower class of functions. In this study, instead of Banach contraction principle, we use weak contraction conditions that allow us to extend to a wider class of functions. Therefore, we can study and apply our methods to even more nonlinear fractional differential equations. This research is devoted to study the existence and uniqueness of a solution for the following fractional hybrid differential equation defined by Riemann-Liouville differential operator of order.............