Fractional-order boundary value problems with Katugampola fractional integral conditions

Creative Commons License

Mahmudov N., Emin S.

Advances in Difference Equations, vol.2018, no.1, 2018 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 2018 Say: 1
  • Nəşr tarixi: 2018
  • Doi nömrəsi: 10.1186/s13662-018-1538-6
  • jurnalın adı: Advances in Difference Equations
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Açar sözlər: Fractional differential equations, Integral boundary conditions, Katugampola derivative
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this paper, we study existence (uniqueness) of solutions for nonlinear fractional differential equations with Katugampola fractional integral conditions. Several fixed point theorems are used for sufficient conditions of existence (uniqueness) solutions of nonlinear differential equations such as Banach’s contraction principle, the Leray–Schauder nonlinear alternative, and Krasnoselskii’s fixed point theorem. Applications of the main results are also presented.