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Nanware, Jagdish A.; Gadsing, Madhuri N.

Solutions of higher order singular nonlinear \((l-1,1)\) conjugate-type fractional differential equations with lower-upper solution. (English) Zbl 07876119

J. Nonlinear Anal. Optim. 13, No. 2, 61-73 (2022).
Summary: Using the monotone iterative technique coupled with method of lower and upper solutions, we establish the existence and uniqueness of solutions for higher order singular nonlinear \((l-1,1)\) conjugate-type fractional differential equation with one nonlocal term.

MSC:

34A45 Theoretical approximation of solutions to ordinary differential equations
34A08 Fractional ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34B16 Singular nonlinear boundary value problems for ordinary differential equations
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.

Keywords:

monotone iterative technique; lower-upper solutions; integral boundary conditions; fractional differential equations; existence and uniqueness solution; Banach contraction principle
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References:

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