Two-point nonlocal nonlinear fractional boundary value problem with Caputo derivative: Analysis and numerical solution
Abstract: This work presents the existential and unique results for the solution to a kind of high-order fractional nonlinear differential equations involving Caputo fractional derivative. The boundary condition is of the integral type, which entangles both starting and ending points of the domain. First, the unique exact solution is extracted in terms of Green’s function for the linear fractional differential equation, and then Banach contraction mapping theorem is applied to prove the main result in the case of the general nonlinear source term. Then, our main result is demonstrated by an illustrative example, which shows its legitimacy and applicability. Furthermore, numerical-based semi-analytical technique has been presented to approximate the unique solution to the desired order of precision.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Two-point nonlocal nonlinear fractional boundary value problem with Caputo derivative: Analysis and numerical solution ; volume:11 ; number:1 ; year:2022 ; pages:71-79 ; extent:9
Nonlinear engineering ; 11, Heft 1 (2022), 71-79 (gesamt 9)
- Creator
-
AhmadSoltani, Leyla
- DOI
-
10.1515/nleng-2022-0009
- URN
-
urn:nbn:de:101:1-2022071514151899702775
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
15.08.2025, 7:28 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- AhmadSoltani, Leyla
Other Objects (12)
On a nonlocal implicit problem under Atangana–Baleanu–Caputo fractional derivative
Incomplete Caputo fractional derivative operators
Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative
Nonlinear fractional Caputo-Langevin equation with nonlocal Riemann-Liouville fractional integral conditions
On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series
Pseudospectral analysis for multidimensional fractional Burgers equation based on Caputo fractional derivative
A new extension and applications of Caputo fractional derivative operator
Numerical solutions of fractional optimal control with Caputo–Katugampola derivative
A non-local problem with discontinuous matching condition for loaded mixed type equation involving the Caputo fractional derivative
Lyapunov-type inequalities for fractional Langevin-type equations involving Caputo-Hadamard fractional derivative
Modeling the spread of computer virus via Caputo fractional derivative and the beta-derivative
Global existence of solutions for a fractional Caputo nonlocal thermistor problem
On a nonlocal implicit problem under Atangana–Baleanu–Caputo fractional derivative
Incomplete Caputo fractional derivative operators
Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative
Nonlinear fractional Caputo-Langevin equation with nonlocal Riemann-Liouville fractional integral conditions
On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series
Pseudospectral analysis for multidimensional fractional Burgers equation based on Caputo fractional derivative
A new extension and applications of Caputo fractional derivative operator
Numerical solutions of fractional optimal control with Caputo–Katugampola derivative
A non-local problem with discontinuous matching condition for loaded mixed type equation involving the Caputo fractional derivative
Lyapunov-type inequalities for fractional Langevin-type equations involving Caputo-Hadamard fractional derivative
Modeling the spread of computer virus via Caputo fractional derivative and the beta-derivative
Global existence of solutions for a fractional Caputo nonlocal thermistor problem
On a nonlocal implicit problem under Atangana–Baleanu–Caputo fractional derivative
Incomplete Caputo fractional derivative operators
Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative
Nonlinear fractional Caputo-Langevin equation with nonlocal Riemann-Liouville fractional integral conditions
On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series
Pseudospectral analysis for multidimensional fractional Burgers equation based on Caputo fractional derivative
A new extension and applications of Caputo fractional derivative operator
Numerical solutions of fractional optimal control with Caputo–Katugampola derivative
A non-local problem with discontinuous matching condition for loaded mixed type equation involving the Caputo fractional derivative
Lyapunov-type inequalities for fractional Langevin-type equations involving Caputo-Hadamard fractional derivative
Modeling the spread of computer virus via Caputo fractional derivative and the beta-derivative