Yayın: Explicit iteration and unbounded solutions for fractional q–difference equations with boundary conditions on an infinite interval
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AbstractIn 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.
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Springer Science and Business Media LLC
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Artificial intelligence, Class (philosophy), Interval (graph theory), Positive solutions to nonlinear boundary value problems for ordinary differential equations, Infinite interval, Integro-Differential Equations, Context (archaeology), Fractional derivatives and integrals, infinite interval, Boundary value problem, explicit iteration, Applied Mathematics, Physics, fractional \(q\)-derivative, unbounded solution, Nonlocal Partial Differential Equations and Boundary Value Problems, Fractional Derivatives, Green's functions for ordinary differential equations, Modeling and Simulation, Physical Sciences, Explicit iteration, Uniqueness, Fractional Differential Equations, Fractional q-derivative, Difference equations, scaling (\(q\)-differences), Unbounded solution, Compact space, fractional \(q\)-difference equation, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Fractional q-difference equation, QA1-939, FOS: Mathematics, Biology, Anomalous Diffusion Modeling and Analysis, Fractional calculus, Pure mathematics, Paleontology, Applied mathematics, Computer science, Boundary Value Problems, Combinatorics, Nonlinear system, Discrete version of topics in analysis, Mathematics, Nonlinear Systems