Hybrid differential inclusion with nonlocal, infinite-point or Riemann-Stieltjes integral boundary conditions
Authors
Sh. M. Al-Issa
- Faculty of Arts and Sciences, Department of Mathematics, Lebanese International University, Saida, Lebanon.
- Faculty of Arts and Sciences, Department of Mathematics, International University of Beirut, Beirut, Lebanon.
I. H. Kaddoura
- Faculty of Arts and Sciences, Department of Mathematics, Lebanese International University, Saida, Lebanon.
- Faculty of Arts and Sciences, Department of Mathematics, International University of Beirut, Beirut, Lebanon.
H. M. Hamze
- Faculty of Arts and Sciences, Department of Mathematics, Lebanese International University, Saida, Lebanon.
Abstract
Here, we investigate the existence of solutions for the initial value problem of fractional-order differential inclusion containing nonlocal infinite-point or Riemann-Stieltjes integral boundary conditions. The sufficient condition for the uniqueness of the
solution will be given. The continuous dependence of the solution will be studied. Finally, an example is provided to illustrate our results.
Share and Cite
ISRP Style
Sh. M. Al-Issa, I. H. Kaddoura, H. M. Hamze, Hybrid differential inclusion with nonlocal, infinite-point or Riemann-Stieltjes integral boundary conditions, Journal of Mathematics and Computer Science, 32 (2024), no. 1, 25--42
AMA Style
Al-Issa Sh. M., Kaddoura I. H., Hamze H. M., Hybrid differential inclusion with nonlocal, infinite-point or Riemann-Stieltjes integral boundary conditions. J Math Comput SCI-JM. (2024); 32(1):25--42
Chicago/Turabian Style
Al-Issa, Sh. M., Kaddoura, I. H., Hamze, H. M.. "Hybrid differential inclusion with nonlocal, infinite-point or Riemann-Stieltjes integral boundary conditions." Journal of Mathematics and Computer Science, 32, no. 1 (2024): 25--42
Keywords
- Functional integro-differential inclusion
- fixed point theorem
- Riemann-Stieltjes integral boundary conditions
- infinite-point boundary conditions
MSC
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