Abstract
This paper aims to investigate the existence of solution of a generalized Hadamard proportional fractional integral equations involving non-singular kernels. First, we introduce Hadamard fractional integral equations. Then, we demonstrate the existence of the solution of Hadamard proportional fractional integral equations based on the concept of a measure of noncompactness and Petryshyn’s fixed point theorem. After that, we provide suitable examples which evidence the existing result.
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Kazemi, M., Rahul, R. & Yaghoobnia, A. Applications of measure of noncompactness for solvability of Hadamard fractional integral equations. Comp. Appl. Math. 44, 30 (2025). https://doi.org/10.1007/s40314-024-03005-w
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DOI: https://doi.org/10.1007/s40314-024-03005-w
Keywords
- Hadamard proportional fractional integral equation
- Fixed point theorem
- Measure of non-compactness
- existence solutions