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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A novel approach to $ \mathit{q} $-fractional partial differential equations: Unraveling solutions through semi-analytical methods by Khalid K. Ali, Mohamed S. Mohamed, M. Maneea

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Analytic solutions of a generalized complex multi-dimensional system with fractional order by Baleanu Dumitru, Ibrahim Rabha W.

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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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The Fractional Complex Step Method by Rabha W. Ibrahim, Hamid A. Jalab

“…We extended the method by employing the fractional calculus differential operator in this paper. …”
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On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions by Nichaphat Patanarapeelert, Jiraporn Reunsumrit, Thanin Sitthiwirattham

“…All authors Fractional Hahn differences and fractional Hahn integrals have various applications in fields where discrete fractional calculus plays a significant role, such as in discrete biological modeling and signal processing to handle systems with memory effects. …”
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On Discrete Fractional Integral Inequalities for a Class of Functions by Saima Rashid, Hijaz Ahmad, Aasma Khalid, Yu-Ming Chu

“…Discrete fractional calculus ℱC is proposed to depict neural systems with memory impacts. …”
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Assessing the global dynamics of Nipah infection under vaccination and treatment: A novel computational modeling approach. by Fang Yu, Muhammad Younas Khan, Muhammad Bilal Riaz, Saif Ullah, Muhammad Farooq

“…In biology and life sciences, fractal theory and fractional calculus have significant applications in simulating and understanding complex problems. …”
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An Intelligent Crow Search Optimization and Bi-GRU for Forest Fire Detection System Using Internet of Things by Syed Abdul Moeed, Bellam Surendra Babu, M. Sreevani, B. V. Devendra Rao, R. Raja Kumar and Gouse Baig Mohammed

“…Crow Search Optimization (CSO) and fractional calculus are used to create an optimal solution in the proposed crow search fractional calculus optimization (CSFCO) algorithm for deep learning. …”
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Estimation of Integral Inequalities Using the Generalized Fractional Derivative Operator in the Hilfer Sense by Saima Rashid, Rehana Ashraf, Kottakkaran Sooppy Nisar, Thabet Abdeljawad

“…With the great progress of fractional calculus, integral inequalities have been greatly enriched by fractional operators; users and researchers have formed a real-world phenomenon in the production of the evaluation process, which results in convexity. …”
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Stability and Stabilizing of Fractional Complex Lorenz Systems by Rabha W. Ibrahim

“…We study the stability and stabilization of complex fractional Lorenz system. The fractional calculus are taken in sense of the Caputo derivatives. …”
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Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space by Guang-Sheng Chen

“…Based on the local fractional calculus, we establish some new generalizations of Hölder’s inequality. …”
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Further Developments of Bessel Functions via Conformable Calculus with Applications by Mahmoud Abul-Ez, Mohra Zayed, Ali Youssef

“…The provided algorithm may be beneficial to enrich the Bessel function theory via fractional calculus.…”
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Existence of Weak Solutions for Fractional Integrodifferential Equations with Multipoint Boundary Conditions by Haide Gou, Baolin Li

“…By combining the techniques of fractional calculus with measure of weak noncompactness and fixed point theorem, we establish the existence of weak solutions of multipoint boundary value problem for fractional integrodifferential equations.…”
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Fractional Coins and Fractional Derivatives by J. A. Tenreiro Machado

“…This paper discusses the fundamentals of negative probabilities and fractional calculus. The historical evolution and the main mathematical concepts are discussed, and several analogies between the two apparently unrelated topics are established. …”
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Chebyshev Wavelet Analysis by Emanuel Guariglia, Rodrigo Capobianco Guido

“…In particular, we expand the mother wavelet in Taylor series with an application both in fractional calculus and fractal geometry. Finally, we give two examples concerning the main properties proved.…”
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The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential Equations by Baojun Miao, Xuechen Li

“…By using fractional calculus and the summation by parts formula in this paper, the asymptotic behaviours of solutions of nonlinear neutral fractional delay pantograph equations with continuous arguments are investigated. …”
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