*INTEGRALS, *MATHEMATICAL equivalence, *CONVEX functions, *MATHEMATICS theorems, *FIXED point theory
Abstract
In this paper, some new weighted Simpson's type integral inequalities are presented for the class of harmonically-preinvex functions by using power-mean integral inequality and Holder's integral inequality. [ABSTRACT FROM AUTHOR]
*BOUNDARY value problems, *FIXED point theory, *MATHEMATICAL equivalence, *INTEGRALS, *EQUATIONS
Abstract
In this paper, we obtain the existence of positive solutions for the semipositone fractional boundary value problem with n point fractional integral boundary conditions. The existence of positive solutions is established using the five functionals fixed point theorem. An example is given to ratify that our main result is theoretically feasible. [ABSTRACT FROM AUTHOR]