1
Department of Mathematics,Dayanand science college Dist.Latur-413531. India
2
Director Mathematics Research center, Dayanand science college Dist.Latur-413531. India
Abstract
In this paper, we investigate the existence and uniqueness solutions of nonlinear boundary value problems for system of Caputo type nonlinear fractional differential equations of the form: \begin{equation*}\label{*} \left\{ \begin{array}{c} ^cD_{a^{+}}^{q;\psi} u_{i}(t)=F_{i}(t,u_{1}(t),u_{2}(t)) \quad t\in J=[a,b],\\ \phi(v_{i}(a),v_{i}(b))=0. \end{array} \right. \end{equation*}\\
To develop a monotone iterative technique by introducing upper and lower solutions to Caputo type fractional differential equations with nonlinear boundary conditions. The monotone method yield monotone sequences which converges to uniformly and monotonically to extremal solutions.
Mule, A., & Bellale, S. (2023). Existence and Uniqueness Solutions of System Caputo-type Fractional-Order Boundary Value Problems Using Monotone Iterative Method. Communications in Nonlinear Analysis, 11(1), 1-11.
MLA
Audumbar kumar Mule; Sidheshwar S Bellale. "Existence and Uniqueness Solutions of System Caputo-type Fractional-Order Boundary Value Problems Using Monotone Iterative Method". Communications in Nonlinear Analysis, 11, 1, 2023, 1-11.
HARVARD
Mule, A., Bellale, S. (2023). 'Existence and Uniqueness Solutions of System Caputo-type Fractional-Order Boundary Value Problems Using Monotone Iterative Method', Communications in Nonlinear Analysis, 11(1), pp. 1-11.
VANCOUVER
Mule, A., Bellale, S. Existence and Uniqueness Solutions of System Caputo-type Fractional-Order Boundary Value Problems Using Monotone Iterative Method. Communications in Nonlinear Analysis, 2023; 11(1): 1-11.
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