Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control — Part II
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DOI: 10.1142/s0218348x25020050
Abstract: Fractional calculus has emerged as a powerful framework for modeling and controlling complex systems in science and engineering. By extending differentiation and integration to noninteger orders, it provides an effective means of capturing memory, hereditary… read more here.
Keywords: control; special issue; issue application; fractional calculus ... See more keywords
Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms
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DOI: 10.1186/s13662-019-1988-5
Abstract: This article deals with the generalization of natural convection flow of Cu−Al2O3−H2O$Cu - Al_{2}O_{3} - H_{2}O$ hybrid nanofluid in two infinite vertical parallel plates. To demonstrate the flow phenomena in two parallel plates of hybrid… read more here.
Keywords: velocity temperature; temperature; hybrid nanofluid; application fractional ... See more keywords
On a Class of Positive Definite Operators and Their Application in Fractional Calculus
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DOI: 10.3390/axioms11060272
Abstract: This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary value problems for differential equations of fractional order. Approximation matrices are also investigated. In particular, the positive… read more here.
Keywords: class positive; class; application fractional; positive definite ... See more keywords