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1. QUALITATIVE STUDY FOR IMPULSIVE PANTOGRAPH FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION VIA ψ-HILFER DERIVATIVE.

Author

BEDDANI, MOUSTAFA, BEDDANI, HAMID, and FEČKAN, MICHAL

Subjects
*MATHEMATICS, *FIXED point theory, *NONLINEAR operators, *INTEGRO-differential equations, *DERIVATIVES (Mathematics)
Abstract

In this paper, we study the existence and stability of solutions for impulsive pantograph fractional integro-differential equation via ψ-Hilfer fractional derivative in a appropriate Banach space. Our approach is based on fixed point theorems of Darbo’s and Mönch via Kuratowski measure of non-compactness. An example is given to illustrate our approach. [ABSTRACT FROM AUTHOR]

Published
2023
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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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