Advances in Boundary Value Problems for Fractional Differential Equations
This reprint covers new aspects of the recent developments in the theory and applications of fractional differential equations, including inclusions, inequalities, and systems of fractional differential equations with Riemann-Liouville derivatives, Caputo derivatives, or other generalized fractional...
Guardado en:
| Formato: | Online |
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| Lenguaje: | inglés |
| Publicado: |
MDPI - Multidisciplinary Digital Publishing Institute
2023
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| Materias: | |
| Acceso en línea: | ONIX_20230714_9783036577999_7 |
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| _version_ | 1869520669052502016 |
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| collection | Directory of Open Access Books |
| description | This reprint covers new aspects of the recent developments in the theory and applications of fractional differential equations, including inclusions, inequalities, and systems of fractional differential equations with Riemann-Liouville derivatives, Caputo derivatives, or other generalized fractional derivatives, subject to various boundary conditions. The authors study the existence, uniqueness, multiplicity, and nonexistence of classical or mild solutions, the approximation of solutions, and the approximate controllability of mild solutions for diverse mathematical models. |
| format | Online |
| id | doab-20.500.12854ir-101308 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1013082024-03-30T12:51:24Z Advances in Boundary Value Problems for Fractional Differential Equations Luca, Rodica piecewise constant function Mawhin’s continuation technique variable order resonance existence time-fractional damped wave inequalities bounded domain singularity nonexistence Riemann–Liouville fractional differential equations nonlocal boundary conditions singular functions positive solutions multiplicity coincidence degree theory four-point boundary value problem system at resonance fractional evolution systems approximate controllability Sobolev operator compactness Schauder fixed point theorem sequential fractional differential equations Caputo fractional derivative Riemann–Stieltjes integro-multipoint boundary conditions existence and uniqueness fixed point fractional calculus fractional differential equation boundary value problem Chebyshev polynomial collocation method impulsive fractional differential inclusions neutral differential inclusions mild solutions contractible sets Rδ-set boundary value problems fractional q-difference equations Caputo fractional q-difference derivative measure of noncompactness Mönch’s fixed point theorem nonlocal coupled boundary conditions positive parameters resolvent operator delay nonlocal conditions parameter fractional integro-differential equation Sturm–Liouville boundary condition variational method Hilfer fractional system neutral system multi-valued maps sectorial operators fractional Dzhrbashyan–Nersesyan derivative differential equation with fractional derivatives resolving family of operators perturbation theorem initial value problem initial-boundary value problem viscoelastic Oldroyd fluid q-calculus fractional q-integro-difference system solvability Riemann-Stieltjes q-integrals fixed point theorems n/a thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries thema EDItEUR::U Computing and Information Technology::UY Computer science This reprint covers new aspects of the recent developments in the theory and applications of fractional differential equations, including inclusions, inequalities, and systems of fractional differential equations with Riemann-Liouville derivatives, Caputo derivatives, or other generalized fractional derivatives, subject to various boundary conditions. The authors study the existence, uniqueness, multiplicity, and nonexistence of classical or mild solutions, the approximation of solutions, and the approximate controllability of mild solutions for diverse mathematical models. 2023-07-14T14:23:07Z 2023-07-14T14:23:07Z 2023 book ONIX_20230714_9783036577999_7 9783036577999 9783036577982 https://directory.doabooks.org/handle/20.500.12854/101308 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/7401 https://mdpi.com/books/pdfview/book/7401 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-7798-2 10.3390/books978-3-0365-7798-2 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036577999 9783036577982 286 Basel open access |
| spellingShingle | piecewise constant function Mawhin’s continuation technique variable order resonance existence time-fractional damped wave inequalities bounded domain singularity nonexistence Riemann–Liouville fractional differential equations nonlocal boundary conditions singular functions positive solutions multiplicity coincidence degree theory four-point boundary value problem system at resonance fractional evolution systems approximate controllability Sobolev operator compactness Schauder fixed point theorem sequential fractional differential equations Caputo fractional derivative Riemann–Stieltjes integro-multipoint boundary conditions existence and uniqueness fixed point fractional calculus fractional differential equation boundary value problem Chebyshev polynomial collocation method impulsive fractional differential inclusions neutral differential inclusions mild solutions contractible sets Rδ-set boundary value problems fractional q-difference equations Caputo fractional q-difference derivative measure of noncompactness Mönch’s fixed point theorem nonlocal coupled boundary conditions positive parameters resolvent operator delay nonlocal conditions parameter fractional integro-differential equation Sturm–Liouville boundary condition variational method Hilfer fractional system neutral system multi-valued maps sectorial operators fractional Dzhrbashyan–Nersesyan derivative differential equation with fractional derivatives resolving family of operators perturbation theorem initial value problem initial-boundary value problem viscoelastic Oldroyd fluid q-calculus fractional q-integro-difference system solvability Riemann-Stieltjes q-integrals fixed point theorems n/a thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries thema EDItEUR::U Computing and Information Technology::UY Computer science Advances in Boundary Value Problems for Fractional Differential Equations |
| title | Advances in Boundary Value Problems for Fractional Differential Equations |
| title_full | Advances in Boundary Value Problems for Fractional Differential Equations |
| title_fullStr | Advances in Boundary Value Problems for Fractional Differential Equations |
| title_full_unstemmed | Advances in Boundary Value Problems for Fractional Differential Equations |
| title_short | Advances in Boundary Value Problems for Fractional Differential Equations |
| title_sort | advances in boundary value problems for fractional differential equations |
| topic | piecewise constant function Mawhin’s continuation technique variable order resonance existence time-fractional damped wave inequalities bounded domain singularity nonexistence Riemann–Liouville fractional differential equations nonlocal boundary conditions singular functions positive solutions multiplicity coincidence degree theory four-point boundary value problem system at resonance fractional evolution systems approximate controllability Sobolev operator compactness Schauder fixed point theorem sequential fractional differential equations Caputo fractional derivative Riemann–Stieltjes integro-multipoint boundary conditions existence and uniqueness fixed point fractional calculus fractional differential equation boundary value problem Chebyshev polynomial collocation method impulsive fractional differential inclusions neutral differential inclusions mild solutions contractible sets Rδ-set boundary value problems fractional q-difference equations Caputo fractional q-difference derivative measure of noncompactness Mönch’s fixed point theorem nonlocal coupled boundary conditions positive parameters resolvent operator delay nonlocal conditions parameter fractional integro-differential equation Sturm–Liouville boundary condition variational method Hilfer fractional system neutral system multi-valued maps sectorial operators fractional Dzhrbashyan–Nersesyan derivative differential equation with fractional derivatives resolving family of operators perturbation theorem initial value problem initial-boundary value problem viscoelastic Oldroyd fluid q-calculus fractional q-integro-difference system solvability Riemann-Stieltjes q-integrals fixed point theorems n/a thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries thema EDItEUR::U Computing and Information Technology::UY Computer science |
| topic_facet | piecewise constant function Mawhin’s continuation technique variable order resonance existence time-fractional damped wave inequalities bounded domain singularity nonexistence Riemann–Liouville fractional differential equations nonlocal boundary conditions singular functions positive solutions multiplicity coincidence degree theory four-point boundary value problem system at resonance fractional evolution systems approximate controllability Sobolev operator compactness Schauder fixed point theorem sequential fractional differential equations Caputo fractional derivative Riemann–Stieltjes integro-multipoint boundary conditions existence and uniqueness fixed point fractional calculus fractional differential equation boundary value problem Chebyshev polynomial collocation method impulsive fractional differential inclusions neutral differential inclusions mild solutions contractible sets Rδ-set boundary value problems fractional q-difference equations Caputo fractional q-difference derivative measure of noncompactness Mönch’s fixed point theorem nonlocal coupled boundary conditions positive parameters resolvent operator delay nonlocal conditions parameter fractional integro-differential equation Sturm–Liouville boundary condition variational method Hilfer fractional system neutral system multi-valued maps sectorial operators fractional Dzhrbashyan–Nersesyan derivative differential equation with fractional derivatives resolving family of operators perturbation theorem initial value problem initial-boundary value problem viscoelastic Oldroyd fluid q-calculus fractional q-integro-difference system solvability Riemann-Stieltjes q-integrals fixed point theorems n/a thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries thema EDItEUR::U Computing and Information Technology::UY Computer science |
| url | ONIX_20230714_9783036577999_7 |