Some existence results for a nonlinear q-integral equations via M.N.C and fixed point theorem Petryshyn Article Swipe
Related Concepts
Mathematics
Fixed-point theorem
Ordinary differential equation
Partial differential equation
Nonlinear system
Fixed point
Mathematical analysis
Integral equation
Pure mathematics
Differential equation
Physics
Quantum mechanics
Hamid Reza Sahebi
,
Manochehr Kazemi
,
Mohammad Esmael Samei
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1186/s13661-024-01920-9
· OA: W4402442733
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1186/s13661-024-01920-9
· OA: W4402442733
The paper focuses on establishing sufficient conditions for the existence of the solutions in some functional q-integral equations, particularly in Banach spaces. In this method, the technique of measures of noncompactness and Petryshyn’s fixed point theorem in Banach space is used. We provide some examples of equations, which confirm that our result is applicable to a wide class of integral equations.
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