Design of a Novel Fractional Whale Optimization-Enhanced Support Vector Regression (FWOA-SVR) Model for Accurate Solar Energy Forecasting by Abdul Wadood, Hani Albalawi, Aadel Mohammed Alatwi, Hafeez Anwar, Tariq Ali

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A comprehensive investigation of fractional glucose-insulin dynamics: existence, stability, and numerical comparisons using residual power series and generalized Runge-Kutta method... by Khalid I. A. Ahmed, Safa M. Mirgani, Aly Seadawy, Sayed Saber

Subjects: “…Fractional calculus…”
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Approximate analytical solution of a class of highly nonlinear time–fractional-order partial differential equations by Richard Olu Awonusika

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Subdiffusion Equation with Fractional Caputo Time Derivative with Respect to Another Function in Modeling Superdiffusion by Tadeusz Kosztołowicz

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Generalization of Companion of Ostrowski's Type Inequality Via Riemann-Liouville Fractional Integral and Applications in Numerical Integration, Probability Theory and Special Means by Faraz Mehmood, Akhmadjon Soleev

Subjects: “…fractional calculus…”
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On monomiality property of q-Gould-Hopper-Appell polynomials by Nusrat Raza, Mohammed Fadel, Subuhi Khan

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Determination of the Köthe-Toeplitz Duals over the Non-Newtonian Complex Field by Uğur Kadak

“…The important point to note is that the non-Newtonian calculus is a self-contained system independent of any other system of calculus. …”
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A tensão entre cálculo e classificação como dinâmica da exclusão social by Paolo Totaro

“…As the formal logic informs us, calculus and algorithm are two faces of the same coin. …”
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Conditional Probability, Three-Slit Experiments, and the Jordan Algebra Structure of Quantum Mechanics by Gerd Niestegge

“…Most quantum logics do not allow for a reasonable calculus of conditional probability. However, those ones which do so provide a very general and rich mathematical structure, including classical probabilities, quantum mechanics, and Jordan algebras. …”
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Certain Spaces of Functions over the Field of Non-Newtonian Complex Numbers by Ahmet Faruk Çakmak, Feyzi Başar

“…This paper is devoted to investigate some characteristic features of complex numbers and functions in terms of non-Newtonian calculus. Following Grossman and Katz, (Non-Newtonian Calculus, Lee Press, Piegon Cove, Massachusetts, 1972), we construct the field ℂ* of *-complex numbers and the concept of *-metric. …”
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Admissible Almost Type Z-Contractions and Fixed Point Results by Said Melliani, Abdelhamid Moussaoui, L. S. Chadli

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Aumann Fuzzy Improper Integral and Its Application to Solve Fuzzy Integro-Differential Equations by Laplace Transform Method by Elhassan Eljaoui, Said Melliani, L. Saadia Chadli

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Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations by Said Melliani, Abdelati El Allaoui, Lalla Saadia Chadli

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Some new applications of the fractional integral and four-parameter Mittag-Leffler function. by Ahmad A Abubaker, Khaled Matarneh, Suha B Al-Shaikh, Mohammad Faisal Khan

“…The article reveals new applications of the four-parameter Mittag-Leffler function (MLF) in geometric function theory (GFT), using fractional calculus notions. The purpose of this study is to propose and explore a new integral operator of order λ using fractional calculus and the four-parameter MLF. …”
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A Generalization of Hermite–Hadamard–Fejer Type Inequalities for the p-Convex Function via α-Generator by Erdal Ünlüyol, Yeter Erdaş

“…Later, they named this analysis non-Newtonian calculus. This calculus is basically generated by generators. …”
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Discrete Mittag-Leffler Functions in Linear Fractional Difference Equations by Jan Čermák, Tomáš Kisela, Luděk Nechvátal

“…All our observations are performed on a special time scale which unifies and generalizes ordinary difference calculus and q-difference calculus. Some of our results are new also in these particular discrete settings.…”
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Fractional Partial Differential Equation: Fractional Total Variation and Fractional Steepest Descent Approach-Based Multiscale Denoising Model for Texture Image by Yi-Fei Pu, Ji-Liu Zhou, Patrick Siarry, Ni Zhang, Yi-Guang Liu

“…We know from previous studies that fractional-order calculus has some unique properties comparing to integer-order differential calculus that it can nonlinearly enhance complex texture detail during the digital image processing. …”
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The Second Noether Theorem on Time Scales by Agnieszka B. Malinowska, Natália Martins

“…As corollaries we obtain the classical second Noether theorem, the second Noether theorem for the h-calculus and the second Noether theorem for the q-calculus.…”
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On Quantum Statistical Mechanics: A Study Guide by Wladyslaw Adam Majewski

“…We provide an introduction to a study of applications of noncommutative calculus to quantum statistical physics. Centered on noncommutative calculus, we describe the physical concepts and mathematical structures appearing in the analysis of large quantum systems and their consequences. …”
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Ostrowski Type Inequalities for s-Convex Functions via q-Integrals by Khuram Ali Khan, Allah Ditta, Ammara Nosheen, Khalid Mahmood Awan, Rostin Matendo Mabela

“…The new outcomes of the present paper are q-analogues (q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s-convex mappings. …”
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