On a fractional Caputo-Hadamard problem with boundary value conditions via different orders of the Hadamard fractional operators
From MaRDI portal
Publication:2078474
DOI10.1186/s13662-020-02741-7zbMath1482.34021OpenAlexW3033911167MaRDI QIDQ2078474
Sina Etemad, Shahram Rezapour, F. Müge Sakar
Publication date: 28 February 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-02741-7
boundary value problemHadamard fractional integralLeray-SchauderCaputo-Hadamard fractional derivative
Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)
Related Items
On a Caputo conformable inclusion problem with mixed Riemann-Liouville conformable integro-derivative conditions ⋮ On a new structure of the pantograph inclusion problem in the Caputo conformable setting ⋮ Some results on a system of multiterm fractional integro-differential equations ⋮ Existence of solutions for a three-point Hadamard fractional resonant boundary value problem ⋮ On two structures of the fractional q‐sequential integro‐differential boundary value problems ⋮ An analytical approach for the fractional-order Hepatitis B model using new operator ⋮ Generalized sine–cosine wavelet method for Caputo–Hadamard fractional differential equations ⋮ Nonlinear fractional \(q\)-difference equation with fractional Hadamard and quantum integral nonlocal conditions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Existence and H-U stability of solution for coupled system of fractional-order with integral conditions involving Caputo-Hadamard derivatives, Hadamard integrals ⋮ Topological degree theory and Caputo-Hadamard fractional boundary value problems ⋮ Two sequential fractional hybrid differential inclusions
Cites Work
- Multiple positive solutions for nonlocal boundary value problems of singular fractional differential equations
- Existence results for sequential fractional integro-differential equations with nonlocal multi-point and strip conditions
- Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions
- Fractional integro-differential equations with dual anti-periodic boundary conditions.
- Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation
- Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations
- Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations
- On existence results for solutions of a coupled system of hybrid boundary value problems with hybrid conditions
- Boundary value problems with four orders of Riemann-Liouville fractional derivatives
- Positive and negative solutions of a boundary value problem for a fractional \(q\)-difference equation
- On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations
- Existence results for fractional \(q\)-difference equations with nonlocal \(q\)-integral boundary conditions
- Approximate solutions of a sum-type fractional integro-differential equation by using Chebyshev and Legendre polynomials
- On the solutions of certain fractional kinetic equations involving \(k\)-Mittag-Leffler function
- A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel
- Iterative techniques with computer realization for the initial value problem for Caputo fractional differential equations
- The existence of a positive solution for a nonlinear fractional differential equation
- Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative
- Nonlinear integral inequality with power and its application in delay integro-differential equations
- Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function
- Explicit solutions of initial value problems for systems of linear Riemann-Liouville fractional differential equations with constant delay
- On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation
- A non-autonomous Leslie-Gower model with Holling type IV functional response and harvesting complexity
- Positive solutions for a class of two-term fractional differential equations with multipoint boundary value conditions
- A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative
- Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan
- Spline collocation methods for systems of fuzzy fractional differential equations
- On high order fractional integro-differential equations including the Caputo-Fabrizio derivative
- A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions
- Numerical computation of fractional Kersten-Krasil'shchik coupled KdV-mKdV system occurring in multi-component plasmas
- Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative
- A new analysis of fractional Drinfeld-Sokolov-Wilson model with exponential memory
- Theory of nonlinear implicit fractional differential equations
- Collocation methods for fractional differential equations involving non-singular kernel
- System of fractional differential algebraic equations with applications
- Necessary conditions for the existence of positive solutions to fractional boundary value problems at resonance
- Asymptotical consensus of fractional-order multi-agent systems with current and delay states
- Existence of solutions for nonlinear fractional \(q\)-difference equations with Riemann-Liouville type \(q\)-derivatives
- A coupled system of Hadamard type sequential fractional differential equations with coupled strip conditions
- A new method for converting boundary value problems for impulsive fractional differential equations to integral equations and its applications
- Distributed order calculus and equations of ultraslow diffusion
- On a three step crisis integro-differential equation
- Some existence results on nonlinear fractional differential equations
- Boundary value problems of nonlinear fractional q-difference (integral) equations with two fractional orders and four-point nonlocal integral boundary conditions
- Positive solutions for mixed problems of singular fractional differential equations
- Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities
- Nonlocal semilinear integro-differential inclusions via vectorial measures of noncompactness
- Existence of minimal and maximal solutions to RL fractional integro-differential initial value problems
- A new analysis of fractional fish farm model associated with Mittag-Leffler-type kernel
- CAUCHY–DIRICHLET PROBLEM ASSOCIATED TO DIVERGENCE FORM PARABOLIC EQUATIONS
- Positive solutions for boundary value problem of nonlinear fractional differential equation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
