Search

Your search keyword '"Interpolation space"' showing total 3 results
Start Over Descriptor "Interpolation space" Journal boundary value problems
3 results on '"Interpolation space"'

1. New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem

Author

Md Mansur Alam, Shruti Dubey, and Dumitru Baleanu

Subjects
Interpolation space, Fractional calculus, Hölder continuity, Strict solution, Solution operator, Analysis, QA299.6-433
Abstract

Abstract We know that interpolation spaces in terms of analytic semigroup have a significant role into the study of strict Hölder regularity of solutions of classical abstract Cauchy problem (ACP). In this paper, we first construct interpolation spaces in terms of solution operators in fractional calculus and characterize these spaces. Then we establish strict Hölder regularity of mild solutions of fractional order ACP.

Published
2021
Full Text
View/download PDF

2. New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem.

Author

Alam, Md Mansur, Dubey, Shruti, and Baleanu, Dumitru

Subjects
*INTERPOLATION spaces, *ANALYTIC spaces
Abstract

We know that interpolation spaces in terms of analytic semigroup have a significant role into the study of strict Hölder regularity of solutions of classical abstract Cauchy problem (ACP). In this paper, we first construct interpolation spaces in terms of solution operators in fractional calculus and characterize these spaces. Then we establish strict Hölder regularity of mild solutions of fractional order ACP. [ABSTRACT FROM AUTHOR]

Published
2021
Full Text
View/download PDF

3. New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem

Author

Mansur Alam, Shruti Dubey, and Dumitru Baleanu

Subjects
Cauchy problem, Analytic semigroup, Pure mathematics, QA299.6-433, Algebra and Number Theory, Partial differential equation, Hölder continuity, Mathematical analysis, Fractional calculus, Order (ring theory), Ordinary differential equation, Solution operator, Strict solution, Interpolation space, Analysis, Mathematics, Interpolation
Abstract

We know that interpolation spaces in terms of analytic semigroup have a significant role into the study of strict Hölder regularity of solutions of classical abstract Cauchy problem (ACP). In this paper, we first construct interpolation spaces in terms of solution operators in fractional calculus and characterize these spaces. Then we establish strict Hölder regularity of mild solutions of fractional order ACP.

Published
2021

Catalog

Books, media, physical & digital resources
See catalog results