On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions

Abstract

The aim of this paper is to work out the solvability of a class of Caputo time fractional problems with boundary integral conditions. A generalized formula of integration is demonstrated and applied to establish the a priori estimate of the solution, then we prove the existence which is based on the range density of the operator associated with the problem.

Keywords

• time fractional problem
• a priori estimate
• boundary integral conditions
• 35r11
• 35d35