THE EXISTENCE OF THE EXTREMAL SOLUTION FOR THE BOUNDARY VALUE PROBLEMS OF VARIABLE FRACTIONAL ORDER DIFFERENTIAL EQUATION WITH CAUSAL OPERATOR

DOI10.1142/S0218348X20400253zbMath1492.34011OpenAlexW3023276247WikidataQ115245833 ScholiaQ115245833MaRDI QIDQ5025594

Jingfei Jiang, Tareq Saeed, Juan Luis García Guirao

Publication date: 2 February 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x20400253

zbMATH Keywords

extremal solutiontwo-point boundary value problemmonotone iterative techniqueArzela-Ascoli theoremCaputo-type variable fractional order operators

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Fractional ordinary differential equations (34A08)

Related Items (7)

COMPLEX BOUNDARY VALUE PROBLEMS FOR THE CAUCHY–RIEMANN OPERATOR ON A TRIANGLE ⋮ Stability and Bifurcation Analysis of Fractional-Order Delayed Prey–Predator System and the Effect of Diffusion ⋮ Chaos analysis of Buck converter with non-singular fractional derivative ⋮ On the qualitative evaluation of the variable-order coupled boundary value problems with a fractional delay ⋮ On qualitative analysis of boundary value problem of variable order fractional delay differential equations ⋮ An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order ⋮ ANALOG IMPLEMENTATION OF FRACTIONAL-ORDER ELECTRIC ELEMENTS USING CAPUTO–FABRIZIO AND ATANGANA–BALEANU DEFINITIONS

Cites Work

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• Existence result of solutions to differential equations of variable-order with nonlinear boundary value conditions
• Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
• Variable-order fractional derivatives and their numerical approximations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Analytical solution of fractional variable order differential equations
• Variable order and distributed order fractional operators
• Fractional integration and differentiation of variable order
• Solution existence for non-autonomous variable-order fractional differential equations
• Derivation, interpretation, and analog modelling of fractional variable order derivative definition
• Extended algorithms for approximating variable order fractional derivatives with applications
• Existence and uniqueness results for Cauchy problem of variable-order fractional differential equations
• A technique in stability theory of delay-differential equations
• Mechanics with variable-order differential operators
• SM-Algorithms for Approximating the Variable-Order Fractional Derivative of High Order
• Boundary value problems for fractional differential equation with causal operators
• Integration and differentiation to a variable fractional order
• EXISTENCE AND CONTINUATION THEOREMS OF RIEMANN–LIOUVILLE TYPE FRACTIONAL DIFFERENTIAL EQUATIONS
• Fractional Variational Calculus of Variable Order
• Regularity of the solution to Riesz-type fractional differential equation

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