Nonlinear Hilfer Fractional Integro-Partial Differential System

By using fractional calculus and fixed point theorems, existence of mild solution for nonlinear Hilfer fractional integro-partial differential system is studied. In addition, sufficient conditions for controllability of Hilfer fractional integro-partial differential system is established.

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2019-02, Vol.40 (2), p.115-126
Main Authors: Ahmed, Hamdy M., El-Owaidy, Hassan M., AL-Nahhas, Mahmoud A.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Controllability
Differential calculus
Existence theorems
Fixed points (mathematics)
Fractional calculus
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
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Description
Summary:By using fractional calculus and fixed point theorems, existence of mild solution for nonlinear Hilfer fractional integro-partial differential system is studied. In addition, sufficient conditions for controllability of Hilfer fractional integro-partial differential system is established.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080219020021