The authors discover a new identity concerning differentiable mappings defined on \(\mathbf{m }\)-invex set via general fractional integrals. Using the obtained identity as an auxiliary result, some fractional integral inequalities for generalized-\(\mathbf{m }\)-\(((h_{1}^{p},h_{2}^{q});(\eta _{1},\eta _{2}))\)-convex mappings by involving an extended generalized Mittag–Leffler function are presented. It is pointed out that some new special cases can be deduced from main results. Also these inequalities have some connections with known integral inequalities. At the end, some applications to special means for different positive real numbers are provided as well.

中文翻译：

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广义分数阶不等式-$$ \ mathbf {m} $$ m-$$（（h_ {1} ^ {p}，h_ {2} ^ {q}）;（\ eta _ {1}，\ eta _ {2}））$$（（h 1 p，h 2 q）;（η1，η2））-通过扩展的广义Mittag-Leffler函数进行凸映射

作者发现了有关通过通用分数积分在\（\ mathbf {m} \）- invex集合上定义的可微映射的新标识。使用获得的恒等作为辅助结果，广义的一些分数阶积分不等式- \（\ mathbf {m} \） - \（（（h_ {1} ^ {p}，h_ {2} ^ {q}）;（ \ eta _ {1}，\ eta _ {2}））\） -通过涉及扩展的广义Mittag-Leffler函数，介绍了凸映射。指出可以从主要结果中推断出一些新的特殊情况。这些不等式也与已知的积分不等式有一些联系。最后，还提供了针对不同正实数的特殊方法的一些应用。