New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus
This reprint focuses on exploring new developments in both pure and applied mathematics as a result of fractional behaviour. It covers the range of ongoing activities in the context of fractional calculus by offering alternate viewpoints, workable solutions, new derivatives, and methods to solve rea...
I tiakina i:
| Hōputu: | Online |
|---|---|
| Reo: | Ingarihi |
| I whakaputaina: |
2022
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| Ngā marau: | |
| Urunga tuihono: | ONIX_20220916_9783036549057_72 |
| Ngā Tūtohu: |
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
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| _version_ | 1869516937304735744 |
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| collection | Directory of Open Access Books |
| description | This reprint focuses on exploring new developments in both pure and applied mathematics as a result of fractional behaviour. It covers the range of ongoing activities in the context of fractional calculus by offering alternate viewpoints, workable solutions, new derivatives, and methods to solve real-world problems. It is impossible to deny that fractional behaviour exists in nature. Any phenomenon that has a pulse, rhythm, or pattern appears to be a fractal. The 17 papers that were published and are part of this volume provide credence to that claim. A variety of topics illustrate the use of fractional calculus in a range of disciplines and offer sufficient coverage to pique every reader's attention. |
| format | Online |
| id | doab-20.500.12854ir-92086 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| record_format | ojs |
| spelling | doab-20.500.12854ir-920862024-03-28T03:32:16Z New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus Tassaddiq, Asifa Yaseen, Muhammad bessel function harmonically convex function non-singular function involving kernel fractional operator Hadamard inequality Fejér–Hadamard inequality Elzaki transform Caputo fractional derivative AB-fractional operator new iterative transform method Fisher’s equation Hukuhara difference Atangana–Baleanu fractional derivative operator Mittag–Leffler kernel Fornberg–Whitham equation fractional div-curl systems Helmholtz decomposition theorem Riemann–Liouville derivative Caputo derivative fractional vector operators weighted (k,s) fractional integral operator weighted (k,s) fractional derivative weighted generalized Laplace transform fractional kinetic equation typhoid fever disease vaccination model calibration asymptotic stability fixed point theory nonlinear models efficiency index computational cost Halley’s method basin of attraction computational order of convergence Caputo–Hadamard fractional derivative thermostat modeling Caputo–Hadamard fractional integral hybrid Caputo–Hadamard fractional differential equation and inclusion prey-predator model boundedness period-doubling bifurcation Neimark-Sacker bifurcation hybrid control fractal dimensions cubic B-splines trigonometric cubic B-splines extended cubic B-splines Caputo–Fabrizio derivative Cattaneo equation Hermite-Hadamard-type inequalities Hilfer fractional derivative Hölder’s inequality fractional-order differential equations operational matrices shifted Vieta–Lucas polynomials Adomian decomposition method system of Whitham-Broer-Kaup equations Caputo-Fabrizio derivative Yang transform ϑ-Caputo derivative extremal solutions monotone iterative method sequences convex exponential convex fractional quantum inequalities Gould-Hopper-Laguerre-Sheffer matrix polynomials quasi-monomiality umbral calculus fractional calculus Euler’s integral of gamma functions beta function generalized hypergeometric series operational methods delta function Riemann zeta-function fractional transforms Fox–Wright-function generalized fractional kinetic equation n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science This reprint focuses on exploring new developments in both pure and applied mathematics as a result of fractional behaviour. It covers the range of ongoing activities in the context of fractional calculus by offering alternate viewpoints, workable solutions, new derivatives, and methods to solve real-world problems. It is impossible to deny that fractional behaviour exists in nature. Any phenomenon that has a pulse, rhythm, or pattern appears to be a fractal. The 17 papers that were published and are part of this volume provide credence to that claim. A variety of topics illustrate the use of fractional calculus in a range of disciplines and offer sufficient coverage to pique every reader's attention. 2022-09-16T13:47:02Z 2022-09-16T13:47:02Z 2022 book ONIX_20220916_9783036549057_72 9783036549057 9783036549064 https://directory.doabooks.org/handle/20.500.12854/92086 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/5963 https://mdpi.com/books/pdfview/book/5963 10.3390/books978-3-0365-4906-4 10.3390/books978-3-0365-4906-4 MDPI - Multidisciplinary Digital Publishing Institute 9783036549057 9783036549064 368 Basel open access |
| spellingShingle | bessel function harmonically convex function non-singular function involving kernel fractional operator Hadamard inequality Fejér–Hadamard inequality Elzaki transform Caputo fractional derivative AB-fractional operator new iterative transform method Fisher’s equation Hukuhara difference Atangana–Baleanu fractional derivative operator Mittag–Leffler kernel Fornberg–Whitham equation fractional div-curl systems Helmholtz decomposition theorem Riemann–Liouville derivative Caputo derivative fractional vector operators weighted (k,s) fractional integral operator weighted (k,s) fractional derivative weighted generalized Laplace transform fractional kinetic equation typhoid fever disease vaccination model calibration asymptotic stability fixed point theory nonlinear models efficiency index computational cost Halley’s method basin of attraction computational order of convergence Caputo–Hadamard fractional derivative thermostat modeling Caputo–Hadamard fractional integral hybrid Caputo–Hadamard fractional differential equation and inclusion prey-predator model boundedness period-doubling bifurcation Neimark-Sacker bifurcation hybrid control fractal dimensions cubic B-splines trigonometric cubic B-splines extended cubic B-splines Caputo–Fabrizio derivative Cattaneo equation Hermite-Hadamard-type inequalities Hilfer fractional derivative Hölder’s inequality fractional-order differential equations operational matrices shifted Vieta–Lucas polynomials Adomian decomposition method system of Whitham-Broer-Kaup equations Caputo-Fabrizio derivative Yang transform ϑ-Caputo derivative extremal solutions monotone iterative method sequences convex exponential convex fractional quantum inequalities Gould-Hopper-Laguerre-Sheffer matrix polynomials quasi-monomiality umbral calculus fractional calculus Euler’s integral of gamma functions beta function generalized hypergeometric series operational methods delta function Riemann zeta-function fractional transforms Fox–Wright-function generalized fractional kinetic equation n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus |
| title | New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus |
| title_full | New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus |
| title_fullStr | New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus |
| title_full_unstemmed | New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus |
| title_short | New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus |
| title_sort | new advancements in pure and applied mathematics via fractals and fractional calculus |
| topic | bessel function harmonically convex function non-singular function involving kernel fractional operator Hadamard inequality Fejér–Hadamard inequality Elzaki transform Caputo fractional derivative AB-fractional operator new iterative transform method Fisher’s equation Hukuhara difference Atangana–Baleanu fractional derivative operator Mittag–Leffler kernel Fornberg–Whitham equation fractional div-curl systems Helmholtz decomposition theorem Riemann–Liouville derivative Caputo derivative fractional vector operators weighted (k,s) fractional integral operator weighted (k,s) fractional derivative weighted generalized Laplace transform fractional kinetic equation typhoid fever disease vaccination model calibration asymptotic stability fixed point theory nonlinear models efficiency index computational cost Halley’s method basin of attraction computational order of convergence Caputo–Hadamard fractional derivative thermostat modeling Caputo–Hadamard fractional integral hybrid Caputo–Hadamard fractional differential equation and inclusion prey-predator model boundedness period-doubling bifurcation Neimark-Sacker bifurcation hybrid control fractal dimensions cubic B-splines trigonometric cubic B-splines extended cubic B-splines Caputo–Fabrizio derivative Cattaneo equation Hermite-Hadamard-type inequalities Hilfer fractional derivative Hölder’s inequality fractional-order differential equations operational matrices shifted Vieta–Lucas polynomials Adomian decomposition method system of Whitham-Broer-Kaup equations Caputo-Fabrizio derivative Yang transform ϑ-Caputo derivative extremal solutions monotone iterative method sequences convex exponential convex fractional quantum inequalities Gould-Hopper-Laguerre-Sheffer matrix polynomials quasi-monomiality umbral calculus fractional calculus Euler’s integral of gamma functions beta function generalized hypergeometric series operational methods delta function Riemann zeta-function fractional transforms Fox–Wright-function generalized fractional kinetic equation n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | bessel function harmonically convex function non-singular function involving kernel fractional operator Hadamard inequality Fejér–Hadamard inequality Elzaki transform Caputo fractional derivative AB-fractional operator new iterative transform method Fisher’s equation Hukuhara difference Atangana–Baleanu fractional derivative operator Mittag–Leffler kernel Fornberg–Whitham equation fractional div-curl systems Helmholtz decomposition theorem Riemann–Liouville derivative Caputo derivative fractional vector operators weighted (k,s) fractional integral operator weighted (k,s) fractional derivative weighted generalized Laplace transform fractional kinetic equation typhoid fever disease vaccination model calibration asymptotic stability fixed point theory nonlinear models efficiency index computational cost Halley’s method basin of attraction computational order of convergence Caputo–Hadamard fractional derivative thermostat modeling Caputo–Hadamard fractional integral hybrid Caputo–Hadamard fractional differential equation and inclusion prey-predator model boundedness period-doubling bifurcation Neimark-Sacker bifurcation hybrid control fractal dimensions cubic B-splines trigonometric cubic B-splines extended cubic B-splines Caputo–Fabrizio derivative Cattaneo equation Hermite-Hadamard-type inequalities Hilfer fractional derivative Hölder’s inequality fractional-order differential equations operational matrices shifted Vieta–Lucas polynomials Adomian decomposition method system of Whitham-Broer-Kaup equations Caputo-Fabrizio derivative Yang transform ϑ-Caputo derivative extremal solutions monotone iterative method sequences convex exponential convex fractional quantum inequalities Gould-Hopper-Laguerre-Sheffer matrix polynomials quasi-monomiality umbral calculus fractional calculus Euler’s integral of gamma functions beta function generalized hypergeometric series operational methods delta function Riemann zeta-function fractional transforms Fox–Wright-function generalized fractional kinetic equation n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20220916_9783036549057_72 |