On a Fractional Differential Equation With Infinitely Many Solutions
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Date
2012
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Springer international Publishing Ag
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GOLD
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Yes
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Abstract
We present a set of restrictions on the fractional differential equation , , where and , that leads to the existence of an infinity of solutions (a continuum of solutions) starting from . The operator is the Caputo differential operator.
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Keywords
Fractional Differential Equation, Multiplicity Of Solutions, Caputo Differential Operator, First-order partial differential equation, Fractional Differential Equations, FOS: Physical sciences, Operator (biology), Infinity, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, caputo differential operator, Differential equation, fractional differential equation, FOS: Mathematics, Mathematical Physics, Anomalous Diffusion Modeling and Analysis, Algebra and Number Theory, Exact differential equation, Applied Mathematics, Partial differential equation, Mathematical Physics (math-ph), Applied mathematics, Nonlocal Partial Differential Equations and Boundary Value Problems, multiplicity of solutions, Fractional Derivatives, Chemistry, Modeling and Simulation, Physical Sciences, Repressor, Fractional Calculus, Transcription factor, Universal differential equation, Analysis, Mathematics, Ordinary differential equation, Fractional ordinary differential equations, Caputo differential operator, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Baleanu, Dumitru; Mustafa, Octavian G.; O'Regan, Donal, "On a fractional differential equation with infinitely many solutions", Advances In Difference Equations, (2012)
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4
Source
Advances in Difference Equations
Volume
2012
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CrossRef : 4
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