- Turkish Journal of Mathematics
- Vol: 41 Issue: 4
- Terminal value problem for causal differential equations with a Caputo fractional derivative
Terminal value problem for causal differential equations with a Caputo fractional derivative
Authors : Coşkun Yakar, Mehmet Arslan
Pages : 1042-1052
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Publication Date : 9999-12-31
Article Type : Makaleler
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