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Positive Solutions of an Initial Value Problem for Nonlinear Fractional Differential Equations

الحلول الإيجابية لمشكلة القيمة الأولية للمعادلات التفاضلية الكسرية غير الخطية
Authors: Dumitru Băleanu; Hakimeh Mohammadi; Sh. Rezapour;

Positive Solutions of an Initial Value Problem for Nonlinear Fractional Differential Equations

Abstract

We investigate the existence and multiplicity of positive solutions for the nonlinear fractional differential equation initial value problem u(0) = 0, 0 < t < 1, where is the standard Riemann‐Liouville differentiation and f : [0,1] × [0, ∞) → [0, ∞) is continuous. By using some fixed‐point results on cones, some existence and multiplicity results of positive solutions are obtained.

Keywords

Numerical Analysis, Fractional Differential Equations, Applied Mathematics, Fractional partial differential equations, Theory and Applications of Fractional Differential Equations, Computer science, Algorithm, Boundary Value Problems, Semilinear Differential Equations, Numerical Methods for Singularly Perturbed Problems, Modeling and Simulation, Physical Sciences, QA1-939, FOS: Mathematics, Nonlinear Equations, Functional Differential Equations, Mathematics, Anomalous Diffusion Modeling and Analysis

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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
20
Average
Top 10%
Top 10%
gold