Browsing by Author "Intesham Ansari"

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    Existence and Uniqueness of Solutions for Fractional-Differential Equation with Boundary Condition Using Nonlinear Multi-Fractional Derivatives
    (Hindawi Limited, 2024) Chanon Promsakon; Intesham Ansari; Mecieu Wetsah; Anoop Kumar; Kulandhaivel Karthikeyan; Thanin Sitthiwirattham; T. Sitthiwirattham; Research Group for Fractional Calculus Theory and Applications, Science and Technology Research Institute, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand; email: thanin_sit@dusit.ac.th; K. Karthikeyan; Department of Mathematics and Centre for Research and Development, Kpr Institute of Engineering and Technology, Coimbatore, Tamil Nadu, 641-407, India; email: karthi_phd2010@yahoo.co.in
    In this article the existence as well as the uniqueness (EU) of the solutions for nonlinear multiorder fractional-differential equations (FDE) with local boundary conditions and fractional derivatives of different orders (Caputo and Riemann-Liouville) are covered. The existence result is derived from Krasnoselskii's fixed point theorem and its uniqueness is shown using the Banach contraction mapping principle. To illustrate the reliability of the results, two examples are given. © 2024 Chanon Promsakon et al.