A nonlinear Caputo-type coupled fractional differential system with a new class of coupled multi-point closed boundary conditions

In this paper, we investigate the existence of solutions for a nonlinear Caputo-type coupled fractional differential system equipped with a new class of multi-point coupled closed boundary conditions. We apply the tools of fixed-point theory to establish the desired results. It is imperative to mention that the idea of multi-point coupled closed boundary conditions is useful in view of its occurrence in many physical situations such as honeycomb lattice, deblurring problems, magneto-electro-elastic cylindrical composite panel, etc. On the other hand, the nonlinear Caputo-type coupled fractional differential systems appear in the mathematical modeling of several real-world phenomena like fractional diffusion, immunology, infectious diseases, chaotic synchronization, neural networks to name a few. It is expected that the research conducted on the given topic will be useful from theoretical as well as application perspective of fractional boundary value problems.