Compact operator of peridynamic model
*Rasha Hamzah ObaidCorresponding authorrasha.hamzah@qu.edu.iqDepartment of MathematicsCollege of ScienceUniversity of Al-QadisiyahAl-Qadisiyah, 54001, Iraq0000-0001-5441-2703View full profile → , Aseel Ameen Harbiaseel.harbi@qu.edu.iqDepartment of MathematicsCollege of ScienceUniversity of Al-QadisiyahAl-Qadisiyah, 54001, Iraq0009-0007-1987-3425View full profile → , Zainab Mohammed Najmzainab.moha@qu.edu.iqDepartment of MathematicsCollege of ScienceUniversity of Al-QadisiyahAl-Qadisiyah, 54001, Iraq0009-0007-3114-4604View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 12 Nov 2024
- Published Online:
- 12 Jun 2025
- Article type:
- Review Article
- Language:
- EN
- Article no.:
- JIM-2201
- Pages:
- 1657–1661
Abstract
Keywords
Subject Classifications
References
[1] P. G. Dodds and D. H. Fremlin, “Compact operators in Banach lattices,” Israel Journal of Mathematics, vol. 34, no. 4, pp. 287-320 (1979), https://doi.org/10.1007/bf02760610.
[2] S. A. Silling, “Linearized Theory of Peridynamic States,” Journal of Elasticity, vol. 99, no. 1, pp. 85-111 (2010).
[3] S. Bergman and M. Schiffer, “Kernel functions and conformal mapping,” Compositio Mathematica, vol. 8, pp. 205-249 (1951).
[4] D. Afzal, S. Hussain, Mehmet Serif Aldemir, M. R. Farahani, and F. Afzal, “New degree-based topological descriptors via m-polynomial of boron α-nanotube,” Eurasian Chem. Commun., vol. 2, no. 11, pp. 1117-1125 (2020). [Online] Available: https://doi.org/10.22034/ecc.2020.254614.1092.
[5] F. Afzal, S. Hussain, D. Afzal, and S. Hameed, “M-polynomial and topological indices of zigzag edge coronoid fused by starphene,” Open Chemistry, vol. 18, no. 1, pp. 1362-1369 (2020). [Online] Available: https://doi.org/10.1515/chem-2020-0161.
[6] M. Ali, “Wave Equation Applications in Peridynamic Model,” European Journal of Scientific Research, vol. 88, pp. 1450-216 (2012).
[7] V. Bezugly, J. Kunstmann, B. Grundkötter-Stock, T. Frauenheim, T. Niehaus, and G. Cuniberti, “Highly Conductive Boron Nanotubes: Transport Properties, Work Functions, and Structural Stabilities,” ACS Nano, vol. 5, no. 6, pp. 4997-5005 (2011). [Online] Available: https://doi.org/10.1021/nn201099a.
[8] M. Cancan, D. Afzal, S. Hussain, A. Maqbool, and F. Afzal, “Some new topological indices of silicate network via M-polynomia,” J. Discrete Math. Sci. Cryptography, vol. 23, no. 6, pp. 1157-1171 (2020). [Online] Available: https://doi.org/10.1080/09720529.2020.1809776.
[9] Z. M. Najm, R. H. Obaid, and A. A. Harbi, “Solutions convergence of the Schrödinger equation in perdynamic model” J. Interdiscip. Math., vol. 28, no. 1, pp. 299-303 (2025). [Online] Available: https://doi.org/10.47974/jim-1987.
[10] T. A. Maha, S. Mahdi, and A. A. Harbi, “Applications of Fractional-Calculus to Certain Subclass of Analytic-Valent Functions with Negative Coefficients with TEBA operater,” Jan. 01 (2020).
[11] H. B. Shelash and A. R. Ashrafi, “The Number of Subgroups of a Given Type in Certain Finite Groups,” Iran. J. Math. Sci. Inform. vol. 16, no. 2, pp. 73-87 (Oct. 2021). [Online] Available: https://doi.org/10.52547/ijmsi.16.2.73.
[12] H. B. Shelash and A. R. Ashrafi, “Table of marks and markaracter table of certain finite groups,” Quasigroups and Related Systems, vol. 28, no. n1, pp. 159-170 (2020).
[13] M. Cancan, S. Ediz, H. Mutee-Ur-Rehman, and D. Afzal, “M-polynomial and topological indices Poly (EThyleneAmidoAmine) dendrimers,” J Inform Optim Sci., vol. 41, no. 4, pp. 1117-1131 (May 2020). [Online] Available: https://doi.org/10.1080/02522667.2020.1745383.
[14] M. Imran, M. K. Siddiqui, S. Ahmad, M. F. Hanif, M. H. Muhammad, and M. R. Farahani, “Topological properties of benzenoid, phenylenes and nanostar dendrimers,” J. Discrete Math. Sci. Cryptography, vol. 22, no. 7, pp. 1229-1248 (Oct. 2019). [Online] Available: https://doi.org/10.1080/09720529.2019.1701267.
[15] M. Alaeiyan, F. Afzal, M. R. Farahani, and M. A. Rostami, “An exact formulas for the Wiener polarity index of nanostar dendrimers,” J Inform Optim Sci., vol. 41, no. 4, pp. 933-939 (May 2020). [Online] Available: https://doi.org/10.1080/02522667.2020.1748274.
[16] M. K. Hashmi, F. Chaudhry, A. Jalil, and M. R. Farahani, “Investigation of dendrimer structures by means of reverse atomic bond connectivity index,” J. Discrete Math. Sci. Cryptography, vol. 24, no. 2, pp. 473-485 (Feb. 2021). [Online] Available: https://doi.org/10.1080/09720529.2021.1882161.




