APPLICATION OF TOPOLOGICAL DEGREE METHOD IN QUANTITATIVE BEHAVIOR OF FRACTIONAL DIFFERENTIAL EQUATIONS

Ghaus ur Rahman

Abstract


In the present manuscript we incorporate fractional order Caputo derivative
to study a class of non-integer order differential equation. For existence and
uniquenessofsolutionsomeresultsfromfixedpointtheoryisonourdisposal.
The method used for exploring these existence results is topological degree
method and some auxiliary conditions are developed for stability analysis.
For further elaboration an illustrative example is provided in the last part of
the research article.


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