Existence and uniqueness of solutions for system of Hilfer–Hadamard sequential fractional differential equations with two point boundary conditions
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DOI: 10.1186/s13662-019-2459-8
Abstract: In this paper, we study existence and uniqueness of solutions for a system of Hilfer–Hadamard sequential fractional differential equations via standard fixed point theorems. The existence is proved by using the Leray–Schauder alternative, while the… read more here.
Keywords: existence; existence uniqueness; solutions system; system hilfer ... See more keywords
On a Nonlocal Coupled System of Hilfer Generalized Proportional Fractional Differential Equations
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DOI: 10.3390/sym14040738
Abstract: This paper studies the existence and uniqueness of solutions for a coupled system of Hilfer-type generalized proportional fractional differential equations supplemented with nonlocal asymmetric multipoint boundary conditions. We consider both the scalar and the Banach… read more here.
Keywords: system hilfer; generalized proportional; proportional fractional; fractional differential ... See more keywords
Applicability of Mönch's Fixed Point Theorem on a System of (k, ψ)-Hilfer Type Fractional Differential Equations
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DOI: 10.3390/sym14122572
Abstract: In this article, we study a system of Hilfer (k,ψ)-fractional differential equations, subject to nonlocal boundary conditions involving Hilfer (k,ψ)-derivatives and (k,ψ)-integrals. The results for the mentioned system are established by using Mönch’s fixed point… read more here.
Keywords: system; nch fixed; system hilfer; fixed point ... See more keywords