Employing of Some Basic Theory for Class of Fractional Differential Equations
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Date
2011
Authors
Journal Title
Journal ISSN
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Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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No
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Abstract
Basic theory on a class of initial value problem of some fractional differential equation involving Riemann-Liouville differential operators is discussed by employing the classical approach from the work of Lakshmikantham and A. S. Vatsala (2008). The theory of inequalities, local existence, extremal solutions, comparison result and global existence of solutions are considered. Our work employed recent literature from the work of (Lakshmikantham and A. S. Vatsala, (2008)).
Description
Babakhani, Abolfazl/0000-0002-8780-6968
ORCID
Keywords
Artificial intelligence, Class (philosophy), Fractional Differential Equations, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Differential equation, QA1-939, FOS: Mathematics, Work (physics), Functional Differential Equations, Anomalous Diffusion Modeling and Analysis, Algebra and Number Theory, Applied Mathematics, Physics, Partial Differential Equations, Partial differential equation, Applied mathematics, Computer science, Nonlocal Partial Differential Equations and Boundary Value Problems, Fractional Derivatives, Modeling and Simulation, Physical Sciences, Thermodynamics, Fractional Calculus, Analysis, Mathematics, Ordinary differential equation, Fractional ordinary differential equations, Differential inequalities involving functions of a single real variable, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Babakhani, A., Baleanu, D. (2011). Employing of some basic theory for class of fractional differential equations. Advance in Difference Equations. http://dx.doi.org/ 10.1155/2011/296353
WoS Q
Q1
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OpenCitations Citation Count
6
Source
Advances in Difference Equations
Volume
2011
Issue
Start Page
1
End Page
13
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CrossRef : 2
Scopus : 8
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Mendeley Readers : 4
SCOPUS™ Citations
8
checked on Feb 26, 2026
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2
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3
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