Separated boundary value problems via quantum Hilfer and Caputo operators
Copyright policy )Separated boundary value problems via quantum Hilfer and Caputo operators
<abstract><p>This paper describes a new class of boundary value fractional-order differential equations of the $ q $-Hilfer and $ q $-Caputo types, with separated boundary conditions. The presented problem is converted to an equivalent integral form, and fixed-point theorems are used to prove the existence and uniqueness of solutions. Moreover, several special cases demonstrate how the proposed problems advance beyond the existing literature. Examples are provided to support the analysis presented.</p></abstract>
- Sule Lamido University Nigeria
- University of Ioannina Greece
- King Mongkut's University of Technology North Bangkok Thailand
Numerical Solution, Integro-Differential Equations, hilfer fractional derivative, Mathematical analysis, Quantum mechanics, Quantum, Value (mathematics), Numerical Methods for Singularly Perturbed Problems, Eigenvalue Problems, QA1-939, FOS: Mathematics, Boundary value problem, Matrix Algorithms and Iterative Methods, Numerical Analysis, separated boundary condition, Applied Mathematics, Physics, Statistics, existence, Partial Differential Equations, caputo derivative, Applied mathematics, fixed point theorems, Nonlocal Partial Differential Equations and Boundary Value Problems, Boundary Value Problems, Computational Theory and Mathematics, Physical Sciences, Computer Science, Mathematics
Numerical Solution, Integro-Differential Equations, hilfer fractional derivative, Mathematical analysis, Quantum mechanics, Quantum, Value (mathematics), Numerical Methods for Singularly Perturbed Problems, Eigenvalue Problems, QA1-939, FOS: Mathematics, Boundary value problem, Matrix Algorithms and Iterative Methods, Numerical Analysis, separated boundary condition, Applied Mathematics, Physics, Statistics, existence, Partial Differential Equations, caputo derivative, Applied mathematics, fixed point theorems, Nonlocal Partial Differential Equations and Boundary Value Problems, Boundary Value Problems, Computational Theory and Mathematics, Physical Sciences, Computer Science, Mathematics
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