In this paper, we consider the iterative system of singular Rimean-Liouville fractional-order boundary value problems with Riemann-Stieltjes integral boundary conditions involving increasing homeomorphism and positive homomorphism operator(IHPHO). By using Krasnoselskii’s cone fixed point theorem in a Banach space, we derive sufficient conditions for the existence of an infinite number of nonnegative solutions. The sufficient conditions are also derived for the existence of a unique nonnegative solution to the addressed problem by fixed point theorem in complete metric space. As an application, we present an example to illustrate the main results.
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Prasad, K., Mahammad, K., & Pogadadanda, V. (2021). An infinite number of nonnegative solutions for iterative system of singular fractional order Boundary value problems. Computational Methods for Differential Equations, 9(4), 940-958. doi: 10.22034/cmde.2020.41028.1780
MLA
Kapula Rajendra Prasad; Khuddush Mahammad; Veeraiah Pogadadanda. "An infinite number of nonnegative solutions for iterative system of singular fractional order Boundary value problems". Computational Methods for Differential Equations, 9, 4, 2021, 940-958. doi: 10.22034/cmde.2020.41028.1780
HARVARD
Prasad, K., Mahammad, K., Pogadadanda, V. (2021). 'An infinite number of nonnegative solutions for iterative system of singular fractional order Boundary value problems', Computational Methods for Differential Equations, 9(4), pp. 940-958. doi: 10.22034/cmde.2020.41028.1780
VANCOUVER
Prasad, K., Mahammad, K., Pogadadanda, V. An infinite number of nonnegative solutions for iterative system of singular fractional order Boundary value problems. Computational Methods for Differential Equations, 2021; 9(4): 940-958. doi: 10.22034/cmde.2020.41028.1780
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