Nonlinear sequential Riemann–Liouville and Caputo fractional differential equations with generalized fractional integral conditions

Nonlinear sequential Riemann–Liouville and Caputo fractional differential equations with generalized fractional integral conditions

Abstract In this paper, we discuss the existence and uniqueness of solutions for two new classes of sequential fractional differential equations of Riemann–Liouville and Caputo types with generalized fractional integral boundary conditions, by using standard fixed point theorems. In addition, we als...

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Bibliographic Details
Main Authors: Chanon Promsakon, Nawapol Phuangthong, Sotiris K. Ntouyas, Jessada Tariboon
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:Advances in Difference Equations
Subjects:
Fractional derivatives
Generalized fractional integrals
Boundary value problems
Existence
Uniqueness
Fixed point theorems
Online Access:http://link.springer.com/article/10.1186/s13662-018-1854-x

Internet

http://link.springer.com/article/10.1186/s13662-018-1854-x

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