Abstract
In this paper we introduce a new conformable derivative call it mixed conformable partial derivative, which obeys classical properties, including linearity, product rule, quotient rule and vanishing derivatives for constant functions. As an application, we establish an Opial type inequality for the mixed second order conformable partial derivatives.
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Research is supported by National Natural Science Foundation of China (11371334, 10971205).
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Zhao, CJ., Cheung, WS. The mixed conformable partial derivatives. Period Math Hung 82, 173–180 (2021). https://doi.org/10.1007/s10998-020-00352-z
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DOI: https://doi.org/10.1007/s10998-020-00352-z