Coupled system of a fractional order differential equations with weighted initial conditions
Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem. The continuous dependence of the uniqueness of the...
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| Language: | English |
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De Gruyter
2019-12-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2019-0120 |
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doaj-a9da2273f3f34b25bb619dbd18ec02a72021-09-06T19:20:11ZengDe GruyterOpen Mathematics2391-54552019-12-011711737174910.1515/math-2019-0120math-2019-0120Coupled system of a fractional order differential equations with weighted initial conditionsEl-Sayed Ahmed M. A.0Abd El-Salam Sheren A.1Faculty of Sciences, Alexandria University, Alexandria, EgyptFaculty of Sciences, Damanhour University, Damanhour, EgyptHere, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem. The continuous dependence of the uniqueness of the solution is proved.https://doi.org/10.1515/math-2019-0120riemann-liouville differential operatorcoupled systemweighted cauchy type problemcontinuous dependence34a0834a1245d05 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
El-Sayed Ahmed M. A. Abd El-Salam Sheren A. |
| spellingShingle |
El-Sayed Ahmed M. A. Abd El-Salam Sheren A. Coupled system of a fractional order differential equations with weighted initial conditions Open Mathematics riemann-liouville differential operator coupled system weighted cauchy type problem continuous dependence 34a08 34a12 45d05 |
| author_facet |
El-Sayed Ahmed M. A. Abd El-Salam Sheren A. |
| author_sort |
El-Sayed Ahmed M. A. |
| title |
Coupled system of a fractional order differential equations with weighted initial conditions |
| title_short |
Coupled system of a fractional order differential equations with weighted initial conditions |
| title_full |
Coupled system of a fractional order differential equations with weighted initial conditions |
| title_fullStr |
Coupled system of a fractional order differential equations with weighted initial conditions |
| title_full_unstemmed |
Coupled system of a fractional order differential equations with weighted initial conditions |
| title_sort |
coupled system of a fractional order differential equations with weighted initial conditions |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2019-12-01 |
| description |
Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem. The continuous dependence of the uniqueness of the solution is proved. |
| topic |
riemann-liouville differential operator coupled system weighted cauchy type problem continuous dependence 34a08 34a12 45d05 |
| url |
https://doi.org/10.1515/math-2019-0120 |
| work_keys_str_mv |
AT elsayedahmedma coupledsystemofafractionalorderdifferentialequationswithweightedinitialconditions AT abdelsalamsherena coupledsystemofafractionalorderdifferentialequationswithweightedinitialconditions |
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1717777095175700480 |