A fractional approach to solar heating model using extended ODE system

Ullah, Muhammad Irfan; Ain, Qura Tul; Khan, Aziz; Abdeljawad, Thabet; Alqudah, Manar A.

doi:10.1016/j.aej.2023.09.036

Cited by 2 publications

(2 citation statements)

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“…This approach serves as a robust mathematical framework for describing systems with nonlocal or memory-dependent behavior. Its utility ranges from the analysis of anomalous diffusion in physics [13] to modeling intricate biological processes [14]. As researchers delve deeper into its intricacies, fractional calculus continues to prove invaluable in understanding and characterizing phenomena that classical methods may overlook.…”

Section: Introductionmentioning

confidence: 99%

On Conformable Fractional Milne-Type Inequalities

Ying,

Lakhdari,

et al. 2024

Symmetry

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Building upon previous research in conformable fractional calculus, this study introduces a novel identity. Using this identity as a foundation, we derive a set of conformable fractional Milne-type inequalities specifically designed for differentiable convex functions. The obtained results recover some existing inequalities in the literature by fixing some parameters. These novel contributions aim to enrich the analytical tools available for studying convex functions within the realm of conformable fractional calculus. The derived inequalities reflect an inherent symmetry characteristic of the Milne formula, further illustrating the balanced and harmonious mathematical structure within these frameworks. We provide a thorough example with graphical representations to support our findings, offering both numerical insights and visual confirmation of the established inequalities.

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Section: Introductionmentioning

confidence: 99%

On Conformable Fractional Milne-Type Inequalities

Ying,

Lakhdari,

et al. 2024

Symmetry

View full text Add to dashboard Cite

show abstract

“…On the other hand, fractional calculus is a mathematical field that deals with differentiation and integration of non-integer order. It provides a powerful framework for modeling complex phenomena that are not always well described by traditional calculus [31,34,35]. In the context of fractional integral inequalities, significant progress has been made in understanding the properties of functions, fractional integration operators, and the resulting inequalities.…”

Section: Introductionmentioning

confidence: 99%