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1. SEMIPOSITONE FRACTIONAL BOUNDARY VALUE PROBLEMS WITH N POINT FRACTIONAL INTEGRAL BOUNDARY CONDITIONS.

Author

BATIK, SONGUL and DEREN, FULYA YORUK

Subjects
*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]

Published
2022
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2. A NOTE ON BOUNDED SOLUTIONS OF AN ITERATIVE EQUATION.

Author

HOU YU ZHAO and JIA LIU

Subjects
*ITERATIVE methods (Mathematics), *DIFFERENTIAL equations, *MATHEMATICAL analysis, *FIXED point theory, *FUNCTIONAL analysis, *EQUATIONS, *MATHEMATICS
Abstract

In this paper, we use Schauder and Banach fixed point theorems to study the existence, uniqueness and stability of bounded nonhomogeneous iterative functional differential equations of the form x' (t) = λ1x(t) + λ2x[2](t)+...+λnx[n](t)+f(t). [ABSTRACT FROM AUTHOR]

Published
2019
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