A Class of Nonlinear Boundary Value Problems for an Arbitrary Fractional-Order Differential Equation with the Riemann-Stieltjes Functional Integral and Infinite-Point Boundary Conditions

Srivastava, H.M.; El-Sayed, Ahmed M. A.; Gaafar, Fatma M.

UVicSpace Home
→
Faculty of Science
→
Faculty Publications (BioMed Central & Faculty of Science)
→
View Item

dc.contributor.author	Srivastava, H.M.
dc.contributor.author	El-Sayed, Ahmed M. A.
dc.contributor.author	Gaafar, Fatma M.
dc.date.accessioned	2020-10-19T22:32:20Z
dc.date.available	2020-10-19T22:32:20Z
dc.date.copyright	2018	en_US
dc.date.issued	2018
dc.identifier.citation	Srivastava, H. M., El-Sayed, A. M. A., & Gaafar, F. M. (2018). A Class of Nonlinear Boundary Value Problems for an Arbitrary Fractional-Order Differential Equation with the Riemann- Stieltjes Functional Integral and Infinite-Point Boundary Conditions. Symmetry. 10(10), 1- 13. https://doi.org/10.3390/sym10100508.	en_US
dc.identifier.uri	https://doi.org/10.3390/sym10100508
dc.identifier.uri	http://hdl.handle.net/1828/12221
dc.description.abstract	In this paper, we investigate the existence of an absolute continuous solution to a class of first-order nonlinear differential equation with integral boundary conditions (BCs) or with infinite-point BCs. The Liouville-Caputo fractional derivative is involved in the nonlinear function. We first consider the existence of a solution for the first-order nonlinear differential equation with m-point nonlocal BCs. The existence of solutions of our problems is investigated by applying the properties of the Riemann sum for continuous functions. Several examples are given in order to illustrate our results.	en_US
dc.language.iso	en	en_US
dc.publisher	Symmetry	en_US
dc.subject	nonlinear boundary value problems	en_US
dc.subject	fractional-order differential equations	en_US
dc.subject	Riemann-Stieltjes functional integral	en_US
dc.subject	Liouville-Caputo fractional derivative	en_US
dc.subject	infinite-point boundary conditions	en_US
dc.subject	advanced and deviated arguments	en_US
dc.subject	existence of at least one solution	en_US
dc.title	A Class of Nonlinear Boundary Value Problems for an Arbitrary Fractional-Order Differential Equation with the Riemann-Stieltjes Functional Integral and Infinite-Point Boundary Conditions	en_US
dc.type	Article	en_US
dc.description.scholarlevel	Faculty	en_US
dc.description.reviewstatus	Reviewed	en_US