#5 – Fractional Order Coupled Systems for Mixed Fractional Derivatives with Nonlocal Multi-Point and Riemann-Stieltjes Integral-Multi-Strip Conditions

B. Ahmad, R. P. Agarwal, A. Alsaedi, S. K. Ntouyas, & Y. Alruwaily.  Fractional Order Coupled Systems for Mixed Fractional Derivatives with Nonlocal Multi-Point and Riemann-Stieltjes Integral-Multi-Strip Conditions.  Dynamic Systems and Applications 29 (2020) No. 1, 71-86

https://doi.org/10.46719/dsa20202915

ABSTRACT.
We study the existence and uniqueness of solutions for neutral fractional order
coupled systems containing mixed Caputo and Riemann-Liouville sequential fractional derivatives, complemented with nonlocal multi-point and Riemann-Stieltjes integral multi-strip conditions. Banach fixed point theorem and nonlinear alternative are used to establish the desired results. An example illustrating the abstract results is also presented.

AMS (MOS) Subject Classification. 26A33; 34B15.