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On the fractional double integral inclusion relations having exponential kernels via interval-valued co-ordinated convex mappings

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  • Du, Tingsong
  • Zhou, Taichun

Abstract

In the present study, over a rectangle from the plane R2, we define and develop the conceptions of the interval-valued fractional double integrals having exponential kernels, from which we exploit Hermite–Hadamard, Fejér–Hermite–Hadamard, as well as Pachpatte type inclusion relations regarding the interval-valued co-ordinated convex mappings. These inclusion relations can be viewed as certain substantial generalizations of the previously reported findings. To identify the correctness of the inclusion relations constructed in this work, we also provide three examples regarding the interval-valued co-ordinated convex mappings.

Suggested Citation

  • Du, Tingsong & Zhou, Taichun, 2022. "On the fractional double integral inclusion relations having exponential kernels via interval-valued co-ordinated convex mappings," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    • Handle: RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000571
    DOI: 10.1016/j.chaos.2022.111846
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    References listed on IDEAS

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    1. Hüseyin Budak & Muhammad Aamir Ali & Meliha Tarhanaci, 2020. "Some New Quantum Hermite–Hadamard-Like Inequalities for Coordinated Convex Functions," Journal of Optimization Theory and Applications, Springer, vol. 186(3), pages 899-910, September.
    2. Atangana, Abdon & Qureshi, Sania, 2019. "Modeling attractors of chaotic dynamical systems with fractal–fractional operators," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 320-337.
    3. Atangana, Abdon, 2020. "Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination?," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    4. Singh, D. & Dar, B.A. & Kim, D.S., 2016. "KKT optimality conditions in interval valued multiobjective programming with generalized differentiable functions," European Journal of Operational Research, Elsevier, vol. 254(1), pages 29-39.
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    Cited by:

    1. Muhammad Bilal Khan & Eze R. Nwaeze & Cheng-Chi Lee & Hatim Ghazi Zaini & Der-Chyuan Lou & Khalil Hadi Hakami, 2023. "Weighted Fractional Hermite–Hadamard Integral Inequalities for up and down Ԓ-Convex Fuzzy Mappings over Coordinates," Mathematics, MDPI, vol. 11(24), pages 1-27, December.
    2. Khan, Muhammad Bilal & Santos-García, Gustavo & Noor, Muhammad Aslam & Soliman, Mohamed S., 2022. "Some new concepts related to fuzzy fractional calculus for up and down convex fuzzy-number valued functions and inequalities," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    3. Muhammad Bilal Khan & Ali Althobaiti & Cheng-Chi Lee & Mohamed S. Soliman & Chun-Ta Li, 2023. "Some New Properties of Convex Fuzzy-Number-Valued Mappings on Coordinates Using Up and Down Fuzzy Relations and Related Inequalities," Mathematics, MDPI, vol. 11(13), pages 1-23, June.
    4. Peng, Yu & Özcan, Serap & Du, Tingsong, 2024. "Symmetrical Hermite–Hadamard type inequalities stemming from multiplicative fractional integrals," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    5. Muhammad Bilal Khan & Jorge E. Macías-Díaz & Savin Treanțǎ & Mohamed S. Soliman, 2022. "Some Fejér-Type Inequalities for Generalized Interval-Valued Convex Functions," Mathematics, MDPI, vol. 10(20), pages 1-16, October.
    6. Çi̇ri̇ş, Sümeyye Ermeydan & Yildirim, Hüseyin, 2024. "Hermite–Hadamard inequalities for generalized σ−conformable integrals generated by co-ordinated functions," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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