$Initial value problems for fractional p-Laplacian equations with singularity$

Initial value problems for fractional p-Laplacian equations with singularity

We have studied initial value problems for Caputo fractional differential equations with singular nonlinearities involving the p-Laplacian operator. We have given a precise mathematical analysis of the equivalence of the fractional differential equations and Volterra integral equations studied in th...

Full description

Bibliographic Details
Main Author:	Mahir Hasanov
Format:	Article
Language:	English
Published:	AIMS Press 2024-04-01
Series:	AIMS Mathematics
Subjects:	initial value problems caputo fractional differential equations fractional derivatives fractional p-laplacian existence theorem
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.2024625?viewType=HTML

Similar Items

Existence of positive solutions for p-Laplacian boundary value problems of fractional differential equations
by: Farid Chabane, et al.
Published: (2022-09-01)

Existence results for coupled nonlinear fractional differential equations of different orders with nonlocal coupled boundary conditions
by: Ahmed Alsaedi, et al.
Published: (2021-05-01)

Existence results for random fractional differential equations
by: Vasile Lupulescu, et al.
Published: (2014-01-01)

On the Perturbation–Iteration Algorithm for fractional differential equations
by: Mehmet Şenol, et al.
Published: (2016-01-01)

Nonlocal boundary value problems for Hilfer-type pantograph fractional differential equations and inclusions
by: Athasit Wongcharoen, et al.
Published: (2020-06-01)

Nonlocal Sequential Boundary Value Problems for Hilfer Type Fractional Integro-Differential Equations and Inclusions
by: Nawapol Phuangthong, et al.
Published: (2021-03-01)

Fractional Integral Equations Tell Us How to Impose Initial Values in Fractional Differential Equations
by: Daniel Cao Labora
Published: (2020-07-01)

A periodic boundary value problem of fractional differential equation involving p(t)-Laplacian operator
by: Tingting Xue, et al.
Published: (2023-01-01)

Boundary value problems for differential equations with fractional order
by: Mouffak Benchohra, et al.
Published: (2008-03-01)

Neutral functional sequential differential equations with Caputo fractional derivative on time scales
by: Jamal Eddine Lazreg, et al.
Published: (2022-03-01)

A resonant boundary value problem for the fractional p-Laplacian equation
by: Bo Zhang
Published: (2017-04-01)

On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditions
by: Bashir Ahmad, et al.
Published: (2021-04-01)

Semilinear problems for the fractional laplacian with a singular nonlinearity
by: Barrios Begoña, et al.
Published: (2015-06-01)

Existence of solutions of generalized fractional differential equation with nonlocal initial condition
by: Sandeep P. Bhairat, et al.
Published: (2019-07-01)

L1-Solutions of Boundary Value Problems for Implicit Fractional Order Differential Equations
by: Mouffak Benchohra, et al.
Published: (2015-12-01)

On Nonlinear Ψ-Caputo Fractional Integro Differential Equations Involving Non-Instantaneous Conditions
by: Ramasamy Arul, et al.
Published: (2022-12-01)

Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations
by: Abdelouaheb Ardjouni, Ahcene Djoudi
Published: (2019-11-01)

Existence theory for nonlocal boundary value problems involving mixed fractional derivatives
by: Bashir Ahmad, et al.
Published: (2019-11-01)

Existence theory for nonlocal boundary value problems involving mixed fractional derivatives
by: Bashir Ahmad, et al.
Published: (2019-11-01)

Existence of solutions to fractional differential inclusions with p-Laplacian operator
by: Ahmet Yantir, et al.
Published: (2014-12-01)

Positive solutions for boundary-value problems of nonlinear fractional differential equations
by: Shuqin Zhang
Published: (2006-03-01)

Sequential Riemann–Liouville and Hadamard–Caputo Fractional Differential Equation with Iterated Fractional Integrals Conditions
by: Sotiris K. Ntouyas, et al.
Published: (2021-10-01)

Boundary Value Problems for Hybrid Caputo Fractional Differential Equations
by: Zidane Baitiche, et al.
Published: (2019-03-01)

On Cauchy Problems of Caputo Fractional Differential Inclusion with an Application to Fractional Non-Smooth Systems
by: Jimin Yu, et al.
Published: (2023-01-01)

Quasilinear Fractional Order Equations and Fractional Powers of Sectorial Operators
by: Vladimir E. Fedorov, et al.
Published: (2023-05-01)

Fractional hybrid differential equations with three-point boundary hybrid conditions
by: Choukri Derbazi, et al.
Published: (2019-03-01)

Sequential Caputo–Hadamard Fractional Differential Equations with Boundary Conditions in Banach Spaces
by: Ramasamy Arul, et al.
Published: (2022-12-01)

Boundary Value Problems For Caputo-Hadamard Fractional Differential Equations
by: Wafaa Benhamida, et al.
Published: (2018-08-01)

Impulsive boundary value problems for nonlinear implicit Caputo-exponential type fractional differential equations
by: Ahmed Malti, et al.
Published: (2020-12-01)

Multiple positive solutions for nonlinear mixed fractional differential equation with p-Laplacian operator
by: Yunhong Li
Published: (2019-03-01)

Survey and new results on boundary-value problems of singular fractional differential equations with impulse effects
by: Yuji Liu
Published: (2016-11-01)

Local Existence and Blow-Up of Solutions for Wave Equation Involving the Fractional Laplacian with Nonlinear Source Term
by: Younes Bidi, et al.
Published: (2023-03-01)

Stability for generalized Caputo proportional fractional delay integro-differential equations
by: Martin Bohner, et al.
Published: (2022-03-01)

Existence and Hyers–Ulam Stability for a Multi-Term Fractional Differential Equation with Infinite Delay
by: Chen Chen, et al.
Published: (2022-03-01)

Boundary Value Problems for <i>ψ</i>-Hilfer Type Sequential Fractional Differential Equations and Inclusions with Integral Multi-Point Boundary Conditions
by: Surang Sitho, et al.
Published: (2021-04-01)

Boundary value problems for Hilfer type sequential fractional differential equations and inclusions involving Riemann–Stieltjes integral multi-strip boundary conditions
by: Cholticha Nuchpong, et al.
Published: (2021-05-01)

On solvability of some p-Laplacian boundary value problems with Caputo fractional derivative
by: Xiaoping Li, et al.
Published: (2021-09-01)

A class of BVPs for nonlinear fractional differential equations with p-Laplacian operator
by: Zhenhai Liu, et al.
Published: (2012-08-01)

Existence of positive solutions for fractional differential equation involving integral boundary conditions with p-Laplacian operator
by: Yunhong Li
Published: (2017-05-01)

Some novel mathematical results on the existence and uniqueness of generalized Caputo-type initial value problems with delay
by: Pushpendra Kumar, et al.
Published: (2022-03-01)