Existence and uniqueness results on time scales for fractional nonlocal thermistor problem in the conformable sense
Praveen Agarwal, Moulay Rchid Sidi Ammi, Jihad Asad
Abstract
Abstract We study a conformable fractional nonlocal thermistor problem on time scales. Under an appropriate nonrestrictive condition on the resistivity function, we establish existence and uniqueness results. The proof is based on the use of Schauder’s point fixed theorem.
Topics & Concepts
Conformable matrixThermistorUniquenessMathematicsSense (electronics)Mathematical analysisOrdinary differential equationFunction (biology)Schauder fixed point theoremPartial differential equationFixed-point theoremApplied mathematicsDifferential equationPicard–Lindelöf theoremPhysicsElectrical engineeringEvolutionary biologyEngineeringQuantum mechanicsBiologyFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems