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- Title
A NONLINEAR FRACTIONAL PANTOGRAPH EQUATION WITH A STATE-DEPENDENT NON-LOCAL CONDITION.
- Authors
Nguyen Thi Linh; Bui Thi Ngoc Han
- Abstract
In a Banach space, we investigate the existence and uniqueness of mild solutions to a nonlinear fractional pantograph equation with a state-dependent non-local condition where the right-hand side of the equation is assumed to have singular coefficients. Moreover, we discuss the continuous dependence of mild solutions of the problem on the fractional order, associated parameter, and state-dependent non-local condition. Two examples are given to illustrate our theoretical findings.
- Subjects
PANTOGRAPH; BANACH spaces; EQUATIONS; CATENARY
- Publication
Palestine Journal of Mathematics, 2023, Vol 12, Issue 4, p204
- ISSN
2219-5688
- Publication type
Article