Abstract
In this work, a sufficient condition required for the presence of positive solutions to a coupled system of fractional nonlinear differential equations of implicit type is studied. To study sufficient conditions essential for the existence of unique solution degree theory is used. Two examples are given to illustrate the established results.
Highlights
The concept of fractional differential equations has been examined and considered seeing its usefulness and plentiful presentations in different disciplines of applied science, engineering, and technology such as computer networking, fluid dynamics, control theory, mathematical biology, economics, viscoelasticity, optimization theory, and control theory [1,2,3,4,5,6,7,8]
Nonlinear fractal oscillator is recognized in a fractal space by fractal derivative, and its variational principle is gained for a thin film equation [9]
More courtesy has been given to scrutinizing sufficient conditions essential for the existence of solutions to IFDEs
Summary
The concept of fractional differential equations (abbreviated as FDEs) has been examined and considered seeing its usefulness and plentiful presentations in different disciplines of applied science, engineering, and technology such as computer networking, fluid dynamics, control theory, mathematical biology, economics, viscoelasticity, optimization theory, and control theory [1,2,3,4,5,6,7,8]. After studying the present literature, we pointed out that IFDEs having integral boundary conditions have not been properly studied by the degree method.
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