English

The New Existence and Uniqueness Results for Complex Nonlinear Fractional Differential Equation

Complex Variables 2017-07-18 v3 Functional Analysis

Abstract

In this article, we obtain existence and uniqueness results to some problems involving complex nonlinear fractional differential equations (FDEs) in the closed unit disc of C. By help of these results, we prove that some IVPs for some fractional differential equations with Caputo or Riemann-Liouville derivative admit at least one local (or unique) solution continuous on a closed interval [0,R][0,R] and real analytic on (0,R),(0,R), where 0<R1.0<R\leq 1.

Keywords

Cite

@article{arxiv.1512.04780,
  title  = {The New Existence and Uniqueness Results for Complex Nonlinear Fractional Differential Equation},
  author = {M. Şan and K. N. Soltanov},
  journal= {arXiv preprint arXiv:1512.04780},
  year   = {2017}
}

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16 pages