The paper identifies a gap in the literature regarding
Research gap analysis derived from 3 mathematics papers in our local library.
The gap
The paper identifies a gap in the literature regarding the study of nonlocal Cauchy-type problems involving integro-differential equations with weighted fractional derivatives.
Evidence profile
Sourced from the stated research gap and stated challenges of the source papers, classified as general, spanning 3 journals.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 3 representative gaps
- Cauchy Problem Involving Hybrid Proportional–Caputo Derivative in Banach Spaces (2026) · Contemporary Mathematics · doi
The need to accurately model nonlocal phenomena has motivated the development of various fractional derivative operators. A gap in the literature on nonlinear Cauchy problems driven by hybrid proportional-Caputo fractional derivatives in Banach spaces is identified.
generalstated research gapKeywords: need accurately model nonlocal phenomena has motivated development - ON A CLASS OF CAUCHY-TYPE PROBLEMS ASSOCIATED WITH WEIGHTED FRACTIONAL DERIVATIVES (2026) · Journal of Applied Analysis & Computation · doi
The paper identifies a gap in the literature regarding the study of nonlocal Cauchy-type problems involving integro-differential equations with weighted fractional derivatives.
generalstated research gapevidence 5/5Keywords: paper identifies gap literature regarding study nonlocal cauchy-type - A fractional de Rham complex for coframe-attached Maxwell equations (2026) · Analysis and Mathematical Physics · doi
The nonlocal nature of fractional operators poses a challenge. The lack of a satisfactory fractional tangent space is a technical challenge. The construction of a controlled pointwise substitute is a domain-specific challenge.
generalstated challengesevidence 5/5Keywords: nonlocal nature fractional operators poses challenge lack satisfactory
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