Smallest eigenvalues for (n,p)-type fractional boundary value problems

Boddu Muralee Bala Krushna; Venkatarao Chukka

Boddu Muralee Bala Krushna Department of Mathematics, MVGR College of Engineering, Vizianagaram, 535 005, India.
Venkatarao Chukka Assam University, Silchar, 788 011, India.

Abstract

The main purpose of this paper is to show the existence and comparison of smallest eigenvalues of $(n,\textbf{p})$-type Riemann--Liouville fractional boundary value problems. The techniques involve the theory of $\mu_0$-positive operators on a Banach space. We emphasize that the Banach space used in this work appears to be distinct from the space used when tackling boundary value problems for ordinary differential equations.