Explicit iteration and unbounded solutions for fractional q–difference equations with boundary conditions on an infinite interval
Abdelatif Boutiara, Maamar Benbachir, Mohammed K. A. Kaabar, Francisco Martínez, Mohammad Esmael Samei, Melike Kaplan
Abstract
Abstract In this work, a proposed system of fractional boundary value problems is investigated concerning its unbounded solutions’ existence for a class of nonlinear fractional q-difference equations in the context of the Riemann–Liouville fractional q-derivative on an infinite interval. The system’s solution is formulated with the help of Green’s function. A compactness criterion is established in a special space. All the obtained results of uniqueness and existence are investigated with the help of fixed-point theorems. Some essential examples are illustrated to support our main outcomes.
Topics & Concepts
MathematicsUniquenessFractional calculusInterval (graph theory)Context (archaeology)Boundary value problemMathematical analysisNonlinear systemClass (philosophy)Compact spaceApplied mathematicsPure mathematicsCombinatoricsQuantum mechanicsPhysicsComputer sciencePaleontologyArtificial intelligenceBiologyFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems