A fractional order age-specific smoke epidemic model

Best Decision-Making on the Stability of the Smoke Epidemic Model via Z-Numbers and Aggregate Special Maps

“…In [16], teh authors presented an extension of ( 7) to a two-age group model: 1-Group including people below 70 years old and 2-Group including people aged above 70 years. Every population consists of Therefore, the i -age group transmission model (i = 1, 2) is given as follows:…”

“…To clarify the issue, let us introduce the notion of Ulam-type stability of an operator equation [16,17]. We consider the Banach space (X , ∥ .…”

A fractional order Monkeypox model with protected travelers using the fixed point theorem and Newton polynomial interpolation

“…When a derivative has a non-fixed order, it gives a better picture of real-world problems. Fractional calculus, which is defined as the extension or generalization of classical derivatives and integrals to non-integer order situations, has received a lot of academic interest in recent years and appear to be powerful mathematical tools to model complex real world problems in a variety of domains, such as epidemiological models, image processing, chaos theory, and so on (see, [35] , [36] , [37] , [38] , [39] , [40] ). New approaches concerning fractional operators, such as the exponential decay and the Mittag-Leffler kernel, have been proposed in recent years.…”

Multiple positive solutions and stability results for nonlinear fractional delay differential equations involving p ‐Laplacian operator

“…This is because the dynamic transmissions that take place in biological models can be accurately modeled using fractional calculus (see for example, Mohammadi et al [14], Etemad et al [15], Baleanu et al [16], Tuan et al [17], Addai et al [18]).The fractional calculus has improved the modeling precision of many phenomena in the physical sciences. Primarily, Caputo fractional derivative, the Caputo–Fabrizio (CF) derivative, and Atangana–Baleanu–Caputo (ABC) have lately been used in the field of mathematical biology (see, for example, previous works [19–23] and the references therein).…”

“…The fractional calculus has improved the modeling precision of many phenomena in the physical sciences. Primarily, Caputo fractional derivative, the Caputo-Fabrizio (CF) derivative, and Atangana-Baleanu-Caputo (ABC) have lately been used in the field of mathematical biology (see, for example, previous works [19][20][21][22][23] and the references therein).…”