Terminal value problem for causal differential equations with a Caputo fractional derivative

Authors: COŞKUN YAKAR, MEHMET ARSLAN

Abstract: In this paper, we have given new definitions and obtained the unique solution of a fractional causal terminal value problem by combining the technique of generalized quasilinearization in the sense of upper and lower solutions.

Keywords: Causal operator, terminal value problem, Caputo fractional derivative, quasilinearization method, quadratic convergence, upper and lower solutions

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