Nonlocal Fractional Differential Equations and Applications
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DOI: 10.1007/s11785-020-01006-1
Abstract: The regularity properties of nonlocal fractional differential equations in Banach spaces are studied. Uniform $$L_{p}$$ L p -separability properties and sharp resolvent estimates are obtained for abstract elliptic operator in terms of fractional derivatives. Particularly,… read more here.
Keywords: nonlocal fractional; fractional differential; differential equations; operator ... See more keywords
Eigenvalue intervals for nonlocal fractional order differential equations involving derivatives
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DOI: 10.1007/s12190-016-1028-5
Abstract: In this paper, we firstly consider the nonlocal fractional order differential equations involving derivatives. By means of a fixed-point theorem on a cone, the eigenvalue intervals of the above problem are established. Then by using… read more here.
Keywords: involving derivatives; fractional order; nonlocal fractional; differential equations ... See more keywords
Nonlocal Fractional Evolution Inclusions of Order α ∈ (1,2)
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DOI: 10.3390/math7020209
Abstract: This paper studies the existence of mild solutions and the compactness of a set of mild solutions to a nonlocal problem of fractional evolution inclusions of order α ∈ ( 1 , 2 ) .… read more here.
Keywords: evolution inclusions; nonlocal fractional; fractional evolution; inclusions order ... See more keywords
On a Generalized Langevin Type Nonlocal Fractional Integral Multivalued Problem
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DOI: 10.3390/math7111015
Abstract: We establish sufficient criteria for the existence of solutions for a nonlinear generalized Langevin-type nonlocal fractional-order integral multivalued problem. The convex and non-convex cases for the multivalued map involved in the given problem are considered.… read more here.
Keywords: type nonlocal; generalized langevin; nonlocal fractional; langevin type ... See more keywords