A Study of Nonlinear Fractional-Order Boundary Value Problem with Nonlocal Erdélyi-Kober and Generalized Riemann-Liouville Type Integral Boundary Conditions. Issue 2 (4th March 2017)

• Record Type: Journal Article
• Authors: Ahmad, Bashir; Ntouyas, Sotiris K.; Tariboon, Jessada; Alsaedi, Ahmed
• Is Part Of: Mathematical modelling and analysis. Volume 22:Issue 2(2017)
• Page Start: 121
• Page End: 139
• Publication Date: 2017-03-04
• Subjects: Caputo fractional derivative -- Erdélyi-Kober -- generalized Riemann-Liouville fractional integral -- fractional integral -- fixed point; 34A08 -- 34B10; Mathematical models -- Periodicals; Mathematical models -- Study and teaching -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis -- Problems, exercises, etc -- Periodicals; Mathematical analysis; Mathematical models; Mathematical models -- Study and teaching; Periodicals; Problems and exercises; 511.805
• DOI: 10.3846/13926292.2017.1274920
• Languages: English
• ISSNs: 1392-6292

Abstract

Abstract: We investigate a new kind of nonlocal boundary value problems of nonlinear Caputo fractional differential equations supplemented with integral boundary conditions involving Erdélyi-Kober and generalized Riemann-Liouville fractional integrals. Existence and uniqueness results for the given problem are obtained by means of standard fixed point theorems. Examples illustrating the main results are also discussed.