Singular integral formulations for electrodynamic analysis of metamaterial-inspired antenna array by Alibakhshikenari, Mohammad, Virdee, Bal Singh, Aïssa, Sonia, See, Chan, Althuwayb, Ayman Abdulhadi, Abd-Alhameed, Raed, Huynen, Isabelle, Falcone, Francisco, Limiti, Ernesto

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A novel integral operator transform and its application to some FODE and FPDE with some kind of singularities by Atangana, Abdon, Kilicman, Adem

“…We introduced a novel integral transform operator. We proved the existence and the uniqueness of the relatively new operator. …”
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Evolutionary integrated heuristic with gudermannian neural networks for second kind of lane– emden nonlinear singular models by Kashif Nisar, Zulqurnain Sabir, Muhammad Asif Zahoor Raja, Ag. Asri Ag. Ibrahim, Joel J. P. C. Rodrigues, Adnan Shahid Khan, Manoj Gupta, Aldawoud Kamal, Danda B. Rawat

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Convolution Operators With Spline Kernels by Osman, Rohaizan

“…The two classes of operators which will be considered are the de la Vallee Poussin-Schoenberg operators Tm,k with trigonometric B-spline kernel of degree m and the singular integrals of Riemann-Lebesgue Rn,k with the periodic B-spline kernel of degree n -1. …”
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On the new properties of Caputo–Fabrizio operator and its application in deriving shifted Legendre operational matrix by Jian, Rong Loh, Isah, Abdulnasir, Chang, Phang, Yoke, Teng Toh

“…In this paper, we study the recently introduced Caputo and Fabrizio operator, which this new operator was derived by replacing the singular kernel in the classical Caputo derivative with the regular kernel. …”
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An integral equation related to the Riemann problem for a simply connected region with corners by Munira, I, Murid, Ali Hassan Mohamed, Sanugi, Bahrom

“…The solution to this problem may be characterized as a solution to a singular integral equation on the boundary. By using results of Hille and Muskhelishvili, the theory is extended to include boundaries with corners which are rarely used for numerical computations, mainly due to singularities and other difficulties, arising from the calculation of Cauchy-type contour integrals operating on singular functions around irregular shaped domains. …”

Wavelets operational methods for fractional differential equations and systems of fractional differential equations by Isah, Abdulnasir

“…A new operational matrix of fractional order derivative and integration based on this polynomial was also developed and used together with collocation method to solve FDEs, systems of FDEs and fractional order delay differential equations. …”
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Numerical Solution via Operational Matrix for Solving Prabhakar Fractional Differential Equations by Md Nasrudin, Farah Suraya, Chang Phang, Chang Phang

“…In this research direction, the operational matrix method is either an operational matrix of derivative or operational matrix of integration based on certain polynomials. …”
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Rough-Set-and-Genetic-Algorithm based data mining and Rule Quality Measure to hypothesize distance protective relay operation characteristics from relay event report by Othman, Mohammad Lutfi, Aris, Ishak, Othman, Mohammad Ridzal, Osman, Harussaleh

“…Protective relay performance analysis is only feasible by first formulating the hypothesis of expected relay operations beforehand. Traditionally, the process involved in discovering the relay operation characteristics is bogged down by the issues of differing knowledge of protection experts, meticulous manual understanding of complex relay event report and the need to have supplementary data from diverse intelligent electronic devices. …”
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Controllability study on multi-vessel batch distillation column based on level control scheme by Nurul Hazwani, Sabri

“…Maximum fractionating was achieved under total reflux operation. The vessel holdup was kept constant to its optimal value by the level control, in order to maintain the total reflux operation. …”
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On the Cauchy-Goursat theorem by Azram, Mohammad, Daoud, Jamal Ibrahim, Elfaki, Faiz Ahmed Mohamed

“…Commutation between integration, δ-operation and d-operation was established. …”
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Towards agent-based petri net decision making modelling for cloud service composition: A literature survey by Ahmed, Firas D., Mazlina, Abdul Majid

“…Conclusion We suggest using a couple of agent-based problem-solving techniques to efficiently composite singular services automatically. This utilisation must be supported with an integrated and hybrid MCDM methodology to facilitate the ranking and selection of compromise solutions. …”
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Super resolution imaging using modified lanr based on separable filtering by Somadina, Ike Chidiebere

“…Lastly, we incorporate the nonlocal self-similarity prior to refine our reconstructed high resolution result; hence preserving the local singularity and edges details to achieve a more sophisticated, distinctive and robust image super resolution. …”
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