Found 22 Documents (Results 1–22)
Fractal dimension variation of continuous functions under certain operations. (English) Zbl 1532.28018
Hölder continuity and box dimension for the mixed Riemann-Liouville fractional integral. (English) Zbl 1532.26005
On box dimension of Hadamard fractional integral (partly answer fractal calculus conjecture). (English) Zbl 1508.28002
An insight on the fractal power law flow: from a Hausdorff vector calculus perspective. (English) Zbl 1490.28005
Fractal dimensions of Katugampola fractional integral of continuous functions satisfying Hölder condition. (English) Zbl 1491.28005
Relationship of upper box dimension between continuous fractal functions and their Riemann-Liouville fractional integral. (English) Zbl 1505.28013
On Riemann-Liouville fractional differentiability of continuous functions and its physical interpolation. (English) Zbl 1500.26009
Construction of some special continuous functions and analysis of their fractional integrals. (English) Zbl 1493.28005
Relationship between upper box dimension of continuous functions and orders of Weyl fractional integral. (English) Zbl 1490.28003
Fractal dimension estimation of the Marchaud fractional differential of certain continuous functions. (English) Zbl 1492.28008
The estimates of Hölder index and the box dimension for the Hadamard fractional integral. (English) Zbl 1511.28002
MSC:
28A78
What is the effect of the Weyl fractional integral on the Hölder continuous functions? (English) Zbl 1486.26008
Upper box dimension of Riemann-Liouville fractional integral of fractal functions. (English) Zbl 1487.28005
The relationship between fractal dimensions of Besicovitch function and the order of Hadamard fractional integral. (English) Zbl 1507.26015
Estimation of fractal dimension of fractional calculus of the Hölder continuous functions. (English) Zbl 1501.26006
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