Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: nieliniowe cząstkowe równanie różniczkowe

Sortuj według:

Ogranicz wyniki do:

Positive solution of a fractional differential equation with integral boundary conditions

Abdo M. S., Wahash H. A., Panchal S. K.

Journal of Applied Mathematics and Computational Mechanics

2018

Vol. 17, nr 3

5--15

In this paper, we prove the existence and uniqueness of a positive solution for a boundary value problem of nonlinear fractional differential equations involving a Caputo fractional operator with integral boundary conditions. The technique used to prove our results depends on the upper and lower solution, the Schauder fixed point theorem and the Banach contraction principle. The result of existence obtained through constructing the upper and lower control functions of the nonlinear term without any monotone requirement.

Generalized solutions to a non Lipschitz- Cauchy problem

Devoue V.

Journal of Applied Analysis

2009

Vol. 15, nr 1

1-32

In this article we investigate solutions to a semilinear partial differential equation with non Lipschitz nonlinearity by using recent theories of generalized functions. To give a meaning to a non Lipschitz characteristic Cauchy problem with irregular data, we replace it by a three parameter family of problems. The first parameter turns the problem into a family of Lipschitz problems, the second one converts the given problem to a non-characteristic one, whereas the third one regularizes the data. Finally, the family of problems is solved in an appropriate three parametric (C,Ε,P) algebra.