Recent Advances in Fractional Calculus
This project is dedicated to fractional calculus, one of the most dynamic areas of mathematical science today. For 50 years, the number of researchers and scientific publications dealing with this topic has been increasing day by day, which clearly demonstrates the growing interest in fractional cal...
Gardado en:
| Formato: | Online |
|---|---|
| Idioma: | inglés |
| Publicado: |
MDPI - Multidisciplinary Digital Publishing Institute
2024
|
| Subjects: | |
| Acceso en liña: | ONIX_20240704_9783725812387_94 |
| Tags: |
Sen Etiquetas, Sexa o primeiro en etiquetar este rexistro!
|
| _version_ | 1869523860254097408 |
|---|---|
| collection | Directory of Open Access Books |
| description | This project is dedicated to fractional calculus, one of the most dynamic areas of mathematical science today. For 50 years, the number of researchers and scientific publications dealing with this topic has been increasing day by day, which clearly demonstrates the growing interest in fractional calculus, both from a practical and a theoretical point of view. The purpose of this reprint is to extend existing results in fractional calculus by considering various types of fractional operators, such as Caputo-type, Hilfer-type, and Riemann–Liouville-type, by introducing various types of inequalities, such as Bullen-type, Jensen–Mercer-type, and Hermite–Hadamard-type, as well as by analyzing fractional-order differential equations and boundary value problems. |
| format | Online |
| id | doab-20.500.12854ir-139298 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2024 |
| publishDateRange | 2024 |
| publishDateSort | 2024 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1392982024-07-04T09:39:07Z Recent Advances in Fractional Calculus Kórus, Péter Nápoles Valdés, Juan Eduardo coincidence degree fractional-order half-line m-point resonance fractional derivative convolution meromorphic function q-nalogue of linear differential operator complex order q-starlike q-convex neighborhoods partial sums systems of (k,?) Hilfer fractional differential equations fractional integrals fractional derivatives coupled nonlocal boundary conditions existence of solutions fixed point theorems Caputo fractional derivative evolution equation infinite time-delay mild solution countability Kuratowski measure of noncompactness mathematical model fractional order Caputo optimal control shedding effect COVID-19 boundary value problems for non-linear parabolic PDE fractional step method convergence of numerical methods numerical algorithm error analysis dynamic boundary conditions convex functions (h,m)-convex functions Jensen–Mercer inequality Hermite–Hadamard inequality Hölder inequality power mean inequality non-conformable fractional operators analytic functions quantum (or q-) calculus q-fractional derivative close-to-convex functions m-fold symmetric functions Faber polynomial expansion Bullen’s inequality Hadamard inequality power mean fractional integral operators n/a thema EDItEUR::U Computing and Information Technology::UY Computer science This project is dedicated to fractional calculus, one of the most dynamic areas of mathematical science today. For 50 years, the number of researchers and scientific publications dealing with this topic has been increasing day by day, which clearly demonstrates the growing interest in fractional calculus, both from a practical and a theoretical point of view. The purpose of this reprint is to extend existing results in fractional calculus by considering various types of fractional operators, such as Caputo-type, Hilfer-type, and Riemann–Liouville-type, by introducing various types of inequalities, such as Bullen-type, Jensen–Mercer-type, and Hermite–Hadamard-type, as well as by analyzing fractional-order differential equations and boundary value problems. 2024-07-04T09:39:00Z 2024-07-04T09:39:00Z 2024 book ONIX_20240704_9783725812387_94 9783725812387 9783725812370 https://directory.doabooks.org/handle/20.500.12854/139298 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/9294 https://mdpi.com/books/pdfview/book/9294 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-1237-0 10.3390/books978-3-7258-1237-0 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725812387 9783725812370 186 open access |
| spellingShingle | coincidence degree fractional-order half-line m-point resonance fractional derivative convolution meromorphic function q-nalogue of linear differential operator complex order q-starlike q-convex neighborhoods partial sums systems of (k,?) Hilfer fractional differential equations fractional integrals fractional derivatives coupled nonlocal boundary conditions existence of solutions fixed point theorems Caputo fractional derivative evolution equation infinite time-delay mild solution countability Kuratowski measure of noncompactness mathematical model fractional order Caputo optimal control shedding effect COVID-19 boundary value problems for non-linear parabolic PDE fractional step method convergence of numerical methods numerical algorithm error analysis dynamic boundary conditions convex functions (h,m)-convex functions Jensen–Mercer inequality Hermite–Hadamard inequality Hölder inequality power mean inequality non-conformable fractional operators analytic functions quantum (or q-) calculus q-fractional derivative close-to-convex functions m-fold symmetric functions Faber polynomial expansion Bullen’s inequality Hadamard inequality power mean fractional integral operators n/a thema EDItEUR::U Computing and Information Technology::UY Computer science Recent Advances in Fractional Calculus |
| title | Recent Advances in Fractional Calculus |
| title_full | Recent Advances in Fractional Calculus |
| title_fullStr | Recent Advances in Fractional Calculus |
| title_full_unstemmed | Recent Advances in Fractional Calculus |
| title_short | Recent Advances in Fractional Calculus |
| title_sort | recent advances in fractional calculus |
| topic | coincidence degree fractional-order half-line m-point resonance fractional derivative convolution meromorphic function q-nalogue of linear differential operator complex order q-starlike q-convex neighborhoods partial sums systems of (k,?) Hilfer fractional differential equations fractional integrals fractional derivatives coupled nonlocal boundary conditions existence of solutions fixed point theorems Caputo fractional derivative evolution equation infinite time-delay mild solution countability Kuratowski measure of noncompactness mathematical model fractional order Caputo optimal control shedding effect COVID-19 boundary value problems for non-linear parabolic PDE fractional step method convergence of numerical methods numerical algorithm error analysis dynamic boundary conditions convex functions (h,m)-convex functions Jensen–Mercer inequality Hermite–Hadamard inequality Hölder inequality power mean inequality non-conformable fractional operators analytic functions quantum (or q-) calculus q-fractional derivative close-to-convex functions m-fold symmetric functions Faber polynomial expansion Bullen’s inequality Hadamard inequality power mean fractional integral operators n/a thema EDItEUR::U Computing and Information Technology::UY Computer science |
| topic_facet | coincidence degree fractional-order half-line m-point resonance fractional derivative convolution meromorphic function q-nalogue of linear differential operator complex order q-starlike q-convex neighborhoods partial sums systems of (k,?) Hilfer fractional differential equations fractional integrals fractional derivatives coupled nonlocal boundary conditions existence of solutions fixed point theorems Caputo fractional derivative evolution equation infinite time-delay mild solution countability Kuratowski measure of noncompactness mathematical model fractional order Caputo optimal control shedding effect COVID-19 boundary value problems for non-linear parabolic PDE fractional step method convergence of numerical methods numerical algorithm error analysis dynamic boundary conditions convex functions (h,m)-convex functions Jensen–Mercer inequality Hermite–Hadamard inequality Hölder inequality power mean inequality non-conformable fractional operators analytic functions quantum (or q-) calculus q-fractional derivative close-to-convex functions m-fold symmetric functions Faber polynomial expansion Bullen’s inequality Hadamard inequality power mean fractional integral operators n/a thema EDItEUR::U Computing and Information Technology::UY Computer science |
| url | ONIX_20240704_9783725812387_94 |