Numerical solutions to integral equations equivalent to differential equations with fractional time
نویسندگان
چکیده
منابع مشابه
Numerical solutions to integral equations equivalent to differential equations with fractional time
This paper presents an approximate method of solving the fractional (in the time variable) equation which describes the processes lying between heat and wave behavior. The approximation consists in the application of a finite subspace of an infinite basis in the time variable (Galerkin method) and discretization in space variables. In the final step, a large-scale system of linear equations wit...
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Positive solutions of systems of Hammerstein integral equations are studied by using the theory of the fixed-point index for compact maps defined on cones in Banach spaces. Criteria for the fixed-point index of the Hammerstein integral operators being 1 or 0 are given. These criteria are generalizations of previous results on a single Hammerstein integral operator. Some of criteria are new and ...
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ژورنال
عنوان ژورنال: International Journal of Applied Mathematics and Computer Science
سال: 2010
ISSN: 1641-876X
DOI: 10.2478/v10006-010-0019-1